M.R Darafsheh

Professor Of Group Theory

School of Mathematics

College of Science

University of Tehran

Tehran 14155-6455 Iran

Phone and Fax: +98-21-61112620, +98-21-66412178

Emails:

  darafsheh [at] ut.ac.ir,

daraf [at] khayam.ut.ac.ir,  

mrdaraf [at] yahoo.com

 

 

Butterfly Lemma

Born on 31 Aug. 1950, Abadan, Iran.

Married & have three children.

1978    Ph.D. Pure Mathematics, University of Birmingham, England.

1975    M.Sc. Pure Mathematics, University of Birmingham, England.

1974    B.Sc. with distinction, Pure Mathematics, University of Tehran.

2009-present  Adjunct Professor, Faculty of Engineering Science, University of Tehran.

2003                Deputy Dean in Administrative and Financial Affairs, Faculty of Science, University of Tehran.

1997-present  Professor of Mathematics, Department of Mathematics, University of Tehran.

1995-1998       Head of Research Group in Group Theory, Institute for Studies in Theoretical Physics and Mathematics (Research Institute in Basic Science).

1995-1999       Head, Department of Mathematics and Computer Science, University of Tehran.

1989-1995       Head of Postgraduate Studies, Department of Mathematics and computer science, University of Tehran.

1992-1997       Associate Professor of Mathematics, Department of Mathematics, University of Tehran.

1989-1992       Assistant Professor of Mathematics, Department of Mathematics, University of Tehran.

1984-1989       Assistant Professor of Mathematics, Department of Mathematics, Ahwaz University.

1983-1984       Assistant Professor of Mathematics, Abadan Institute of Technology.

1979-1980       Head, Department of Mathematics, Ahwaz University.

1978-1981       Assistant Professor of Mathematics, Department of Mathematics, Ahwaz University.

2015                Sabbatical leave, University of North Carolina at Charlotte, USA.

2012              Salient Researcher of the University of Tehran.

2008                Distinguished Researcher of the University of Tehran.

2008                Author of the distinguished book of the Tehran University Press, Algebra in 3 volumes.

2005-2007       Visiting Professor, University of North Carolina at Charlotte, USA.

2003                Distinguished Professor of the University of Tehran.

2002-2008       Senior associate member of the International Abdus-Salam Center for Theoretical Physics (ICTP), Italy.                       

2001                Sabbatical leave awarded by the University of Tehran, Yale University, USA.

1997                Winner of basic research prize in the 10th Kharazmi international festival, Tehran, Iran.

1994                Sabbatical leave awarded by the University of Tehran, Yale University, USA.

1991-1997       Associate Member of the International Center for Theoretical Physics, Trieste, Italy.

1990                Winner of the Abdus-salam prize in Mathematics.

1974-1978       Scholarship awarded by Ministry of Science and Higher Education of Iran. 

1974                Top student in B.Sc. class of 1974, University of Tehran, Tehran, Iran.

1996 (1375)     President of Iran for receiving the Kharazmi prize in basic science.

1993 (1371)     Minister of culture and higher education of Iran for authoring the book “An introduction to group theory”.

1992 (1371)     Chancellor of the University of Tehran for the project “t-designs with a given group of automorphism”.

1990 (1369)     Vice-president of Iran for receiving the Abdus-Salam prize.

1990 (1369)     Head of Institute for studies in Physics and Mathematics for receiving the Abdus-Salam prize.

 

2015-present  Treasurer of the Iranian Mathematical Society.

2011                Organizer and chairman of the scientific committee, 3rd Conference and Workshop on Group Theory, University of Tehran, Mar. 9-10.

2011                Member of the Scientific Committee, Biennial International Group Theory Conference, Univ. Tecknologi Malaysia. Johor Bahru, Johor, Malaysia. 14-18 Feb.

2008                Organizer of the AMS special session #1035, SS#08, San Diego, CA, Jan. 6-9.

2003-2006       Member of the executive council of the Iranian Mathematical Society.

1992-present  Reviewer, Zentralblatt fur Mathematik. 

1991-1995       Member of the national committee for mathematics Olympiads.

1990-1993       Responsible for student competition held by the Iranian Mathematical Society.

1988-1990       Member of the executive council of the Iranian Mathematical Society. 

1985-present  Reviewer, American Mathematical Reviews.

1980-present Referee for major mathematical and chemical peer-reviewed journals.

1980-present Committee member for more than 20 Ph.D. student and 50 M.Sc. students.

 

2011-present  Member of the editorial board of the “International Journal of Group Theory”.                       

2011-present  Member of the editorial board of “Transactions on Combinatorics”.                       

2008-present  Member of the editorial board of “Mathematical Sciences”, Quarterly Journal of the Azad Univarsity, Karaj Branch.                       

2008-present  Member of the editorial board of the “Italian Journal of Pure and Applied Mathematics”.                       

2007-present  Member of the editorial board of the “Scientific Journals International”.

2002-2003       Member of the editorial board of the “Journal of Science of the University of Tehran”.

1997-1999       Member of the editorial board of the “Journal of Science of the University of Tehran”.

1996-1998       Member of the executive council of the Iranian Mathematical Society.

1996-2000       Editor-in-chief, “Bulletin of the Iranian Mathematical Society”.

1991-1996       Member of the editorial board of the “Bulletin of the Iranian Mathematical Society”.

1988-2000       Member of the editorial board of the “Farhang va Andisheh Riazy”, Iranian Mathematical Society.

1988-1990       Editor-in-chief, “News Letter of the Iranian Mathematical Society”. 

1984-1989       Member of the editorial board of the “Science Journal” of the University of Ahwaz.

 

1983-present  Member of the Mathematical Association of America.

1978-present  Member of the Iranian Mathematical Society.

1977-present  Member of the American Mathematical Society.

1976-present  Member of the London Mathematical Society. 

 

Q-groups, Products of groups, Locally finite groups, Association schemes, Generation of groups, Strongly regular graphs, p-Steinberg characters, Mathematical Chemistry, Topological indices of graphs, Symmetry classes of tensors, Quasi-permutation characters, Character theory of finite groups, t-designs with a given group of automorphism, Characterizing finite groups by their prime graph, Characterizing finite groups by the set of their element orders, Modular characters and decomposition matrices for linear groups, Topological indices of graphs, Binary codes obtained from designs, Automorphism group of p-groups, Caley graphs.

  1. Characters of the group GLn(2), 6 months, 1363 (1984), Ahwaz University.
  2. Maximal 2-local subgroups of C1, 6 months, 1363 (1984), Ahwaz University.
  3. On the decomposition numbers of certain linear groups, 12 months, 1366 (1987), Ahwaz University.  
  4. t-designs with a given group of automorphism, 18 months, 1368 (1989), University of Tehran.
  5. Irreducible characters of SL5(3), 9 months, 1370 (1991), University of Tehran.  
  6. Irreducible character table of the automorphism group of SL5(3), 12 months, 1374 (1995), University of Tehran.
  7. Degrees of the irreducible characters of the affine group, 18 months, 1374 (1995), University of Tehran.
  8. Conjugacy classes and character table of certain group, 18 months, 1377 (1998), University of Tehran.
  9. The character table of the group GL2(q) when extended by a certain group of orders two, 6 months, 1379 (2000), University of Tehran.
  10. Quantitative structure of the finite groups, 18 months, 1379 (2000), University of Tehran.
  11. Product of groups, 18 months, Ministry of Science, Research and Technology, Iran.
  12. Factorization of groups as product of Linear and symmetric groups, 12 months, 1382 (2003), University of Tehran.
  13. Characterization of linear groups, 12 months, 1383 (2004), University of Tehran.
  14. Characterization of simple groups by order elements or component orders, 12 months, 1386 (2007), University of Tehran.
  15. Recognition of the special linear group over GF(3), 12 months,1386 (2008), University of Tehran.
  16. Computing the topological indices of the triangle graph, 10 months, 1388 (2009), University of Tehran.
  17. Characterization of groups Dp+1(2) and Dp+1(3) using order components, 1388 (2009), Research Institute for Fundamental Sciences, Tabriz University, Tabriz.
  18. Power of irreducible characters, 12 months, 1388 (2009), University of Tehran.
  19. Computation of the Wiener and hyper-Wiener indices of chemical graphs, 12 months, 1388 (2009), University of Tehran.
  20. Computation of the topological indices of the triangle graph, 10 months, 1388 (2009), University of Tehran.
  21. Powers of irreducible characters, 6 months, 1389 (2010), University of Tehran.
  22. Computation of the Wiener and hyper-Wiener indices of chemical graphs, 11 months, 1390 (2010), University of Tehran.
  23. G-graphs and symmetric graphs, 12 months, 1395(2017), ICRP, Tehran, Iran.

Some maximal subgroups of the Conway’s group Co1, 11th Annual Iranian Mathematics Conference, 1980, Mashhad, Iran.

  1. On some characters of certain linear groups, 15th Annual Iranian Mathematics Conference, 1984, Shiraz, Iran. MR 91a 20014.
  2. Short communication presented at the International Congress of Mathematicians, Berkley, 1986, USA.
  3. Characters of automorphism group of a certain linear group, 2nd National Algebra Seminar, 1987, Kashan, Iran.
  4. On commutative non-associative algebras associated with a group of automorphism of a 2- design, 19th Annual Iranian Mathematics Conference, 1988, Rasht, Iran.
  5. Modular characters of finite groups, 4th National Algebra Seminar, 1988, Mashhad, Iran.
  6. Moonshine for certain groups, 6th National Algebra Seminar, 1989, Tehran, Iran.
  7. Short communication presented at the International Congress of Mathematicians, 1990, Kyoto, Japan.
  8. Fischer matrices and charater table, 23rd Annual Iranian Mathematics Conference, 1992, Kermanshah, Iran.
  9. Poster presentation at the First European Congress of Mathematics, 1992, Paris, France.
  10. Degree problem in finite group theory, 24th Annual Iranian Mathematics Conference, 1993, Shahid Beheshti University, Tehran, Iran.
  11. Character tables of some group extensions, 7th National Algebra Seminar, 1993, Hamadan, Iran.
  12. Geometric Characters of the general linear groups, The I.B.R. International workshops, August 8-12, 1995, Montroduni, Italy. MR 98c:2002, Zbl. 891.20031. Invited speaker.
  13. On the p- Steinberg character of some finite simple groups, 2nd Asian mathematics conference, 17-20, 1995, Nakhon Ratchasima University of Technology, Thailand, World Scientific publishing, River Edge, NJ, 1998, MR 99j:20018. Invited speaker.
  14. The character table of certain automorphism group, 26th Annual Iranian Mathematics conference, 1995, Kerman, Iran. MR 1492625. (With A. R. Ashrafi)
  15. On the p-Steinberg characters of some finite simple groups, 27th Annual Iranian Mathematics conference, 1996, Shiraz, Iran. MR 97 j: 20015, Zbl. 990.37931.
  16. The problem of intervals in the subgroup lattice of a finite group, 27th Annual Iranian Mathematics conference, 1996, Shiraz, Iran. MR 1416785, Zbl. 916.20013. (With A.R. Ashrafi)
  17. The characters and conjugacy classes in the extension of the general linear group by the transpose-inverse involution, 28th Annual Iranian Mathematics conference, 1997, Tabriz, Iran. MR 99c:20059.
  18. Conjugacy classes of GL2(q)+ and SL2(q)+, Groups St Andrews, 1997, Bath, England. 30 minutes talk.
  19. The character table of the group GL2(q) when extended by a certain group of order two, The International Congress of Mathematicians, August 18-27, 1998, Berlin, Germany.
  20. Character table of GL2(q)+, Groups Korea, 1998, Korea. 45 minutes talk.
  21. Geometric characters of the classical groups, 11th National Algebra Seminar, 1999, Isfahan, Iran. Invited speaker.
  22. (p,q,r)-Generations of the Conway group Co1 for p ≥ 5, 31st Annual Iranian Mathematics Conference, 2000, Tehran, Iran. MR 2002c:20025, Zbl. 1013.20011. (With A.R.Ashrafi and G.A.Moghani)
  23. Factorization of finite groups, The International Congress of Mathematicians, 19-29, 2002, Beijing, China.
  24. Factorization of finite groups as product of  L2(q) and a symmetric group, ICM Satellite conference in Algebra and related topics, 14-17, 2002, The Chinese university of Hong Kong, Hong Kong.
  25. Factorizations of finite groups, 33rd Annual Iranian Mathematics conference, 2002, Mashhad, Iran. Invited speaker.
  26. On recognition property of the projective special linear group over GF(3), Joint Mathematical Meeting of AMS, Special session on Groups, Representations and Character Theory, 6-9 Jan 2008, San Diego, CA, USA. Invited speaker.
  27. Computing elements orders in the linear group,39th Annual Iranian Mathematics Conference, 24-27 Aug 2008, Kerman, Iran. Invited speaker.
  28. On recognition of the projective linear groups by spectrum,Group theory, Combinatorics and Computation at the University of Western Australia in Perth, 5-16 Jan 2009.
  29. A rational property of irreducible characters of finite groups, Groups – St. Andrews 2009 in Bath, England, August 1-15.
  30. The wiener, Szeged and PI-index of the triangle graph, 5th Asian Mathematical Conference, Kuala Lumpur, Malaysia, 22-26 June 2009.
  31. Products of groups, 2nd group theory conference, Mashhad, Iran, 11-14 March 2010. Invited speaker.
  32. On factorization of finite groups, ICM 2010, Hyderabad, India, 19-27 August 2010.
  33. Recognition of finite groups by spectrum, Biennial International Group Theory Conference 2011, Univ. Tecknologi Malaysia. Johor Bahru, Johor, Malaysia. 14-18 February, 2011. Invited speaker.
  34. On products of conjugacy classes and irreducible characters in finite groups, The 4th group theory conference of Iran, Payam Noor University of Isfahan, Isfahan, Iran, 7-9 March 2012. Invited speaker.
  35. Products of conjugacy classes, Antalya Algebra Days, 15-20 May 2012, Ismir, Turkey.
  36. Graph Theoretical and numerical characterization of finite groups, 43rd Annual Iranian Mathematics Conference, 27-30 August 2012, Tabriz, Iran. Invited speaker.
  37. Solvable groups with exactly two conjugacy classes of the same order, Algorithmic problems in group theory and related areas, Sobolev Institute of Mathematics, 31 July-10 August 2012, Novosibirisk, Russia.
  38. Characterization of finite groups by graphs related to the elements order and a certain group property, 2nd Biennial International Group Theory Conference, Dogus University, 4-8 February 2013, Istanbul, Turkey. Invited speaker.
  39. Classifying groups with exactly two conjugacy classes of the same order, International Conference on Group Theory, 16-20 July 2013, Sobolev Institute of Mathematics, Novosibirisk, Russia.
  40. Quantitative characterization of the projective special linear group, International conference in Groups, Group Rings and Related Topics, 27-30 Oct. 2013, UAE.
  41. Toward classifying finite groups with exactly two conjugacy classes of the same order, ICM 2014,13-21 August 2014, South Korea.
  42. Products of groups, 4th Cemal Koc Algebra dayd, Middle East Technical University, Ankara, Turkey, 22-23 April 2016. Invited speaker.
  43. On edge-transitivity of Cayley graphs, 44th Biennial International group theory conference, 23-26 January 2017. Invited speaker.
  44. On rational irreducible characters of finite groups, Groups St. Andrews 2017 in Birmingham, 5-13 August 2017, England.
  45. Representations and characters of finite groups: Old and new results, AIMC, Bu-Alisina University, Hamadan, 22-25 August 2017, Iran.

 

1983

  1. Maximal subgroups of PSLn(q), q = pm, p prime, which contain a Sylow p-subgroup, Un. Mat. Ital. A (6) 2 (1983), no. 3, 351-353, MR 85 j: 20048, Zbl. 532.20007.

1984

  1. Maximal subgroups of the group GL6(2), Malaysian Math. Soc. 7 (1984), no. 2, 49-55. MR 86g: 20062, Zbl. 568.20044.
  2. Maximal 2-local subgroups of C1, Iranian Math. Soc. 11 (1984), no. 1-2, 1-18, MR 87a: 20011, Zbl. 592.20020

1985

  1. On some characters of GLn(2), Pure Appl. Algebra 35 (1985), 247-252, MR 86d: 20017, Zbl. 553.20022.

1986

  1. Computing the irreducible characters of the group GL6(2), Comp. 46 (1986), no. 173, 301-319, MR 86k: 20005, Zbl. 619.20023.
  2. On a certain permutation character of the general linear group, Algebra 14 (1986), no.7, 1343-1355, MR 87k: 20072, Zbl. 603.20038.

1987

  1. Characters of the automorphism group of the group GL6(2), Algebra 108 (1987), no. 1, 256-268, MR 88c: 20017, Zbl. 615.20022.

1989

  1. On commutative non-associative algebras associated with a group of automorphisms of a 2-design, Algebra 17 (1989), no. 8, 1885-1899, MR 90j: 17004, Zbl. 698.20002.

1992

  1. Decomposition numbers of certain linear groups, Iranian Math. Soc. 18 (1992), no. 1, 9-20, MR 93c: 20078, Zbl. 767.20004.
  2. The t-designs on 13 points with a primitive group of order 78 as a group of automorphism, Inst. Math. Comput. Sci. Math. Ser. 5 (1992), no. 2, 171-180, MR 1207051, Zbl. 801.05011, (With M. Rajabi Tarkhorani and S. Abbasbandi).

1994

  1. An explicit isomorphism between a symplectic group and a symmetric group, Southeast Asian Bull. Math. 18 (1994), no. 1 (1994) 19-25, MR 95c: 20066, Zbl. 805.20010, (With M. Rajabi Tarkhorani).

1995

  1. Irreducible complex characters of the full affine group, J. Algebra Comput. 5 (1995), no. 1, 1-5, MR 95m: 20006, Zbl. 836.20004, (With M. Rajabi Tarkhorani and A. Daneshkhah).
  2. Computation of the character table of affine groups using Fischer matrices, Groups ’93 Galway/St. Andrews, Vol. 1 (Galway, 1993), 131-137, London Math. Soc. Lecture Note Ser. 211, Cambridge Press, Cambridge, 1995, MR1342786 (96j:20011), (With A. Iranmanesh).
  3. The irreducible character table of the automorphism group of group PSL5(3), Agebras Groups Geom. 12 (1995), 339-325, MR 96i: 20009, Zbl. 848.20004, (With A.R. Ashrafi).

1996

  1. On a permutation character of the group GLn(q), Sci. Univ. Tehran Int. Ed. 1 (1996), 69-75, MR 98m: 20051.
  2. Construction of the character table of the hyperoctahedral group, Mat. Pura Appl. 17 (1996), 71-82, MR 97f: 20013,Zbl. 1008.20500, (With A. Iranmanesh).
  3. p- Steinberg characters of alternating and projective special linear groups, Algebra 181 (1996), 196-206, MR 97b: 20012, Zbl. 851.20008.

1997

  1. Computation of the complex characters of the group Aut(GL7(2)), Korean J. Comput. Appl. Math. 4 (1997), no. 1, 193-210, MR 97m: 20019, Zbl. 916.20005, (With Z. Mostaghim).

1998

  1. Some Conjugacy classes in groups associated with the general linear groups, Algebras Groups Geom. 15 (1998), 183-199, MR 2000b: 20058,Zbl. 0995.20027.
  2. Affine subgroups of the classical groups and their character degrees, Sci. I. R. Iran 9 (1998), no. 2, 181-186, MR 2000g: 20096.
  3. On the dimensions of cyclic symmetry classes of tensors, Algebra 205 (1998), 317-325, MR 99g: 15040, Zbl. 924.20005, (With M.R. Pournaki).

1999

  1. Hv-rings of fractions, J. Pure Appl. Math. 5 (1999), 25-34, MR 2000j: 16077, (With B. Davvaz).
  2. Dual properties in table algebras, J. Pure Appl. Math. 6 (1999), 73-80, MR 2002c: 20022, Zbl. 0964.20004, (With A.  Rahnamaei Barghi).
  3. Composition series in C-algebras, Algebra Colloq. 6 (1999), no. 2, 125-132, MR 1805731, Zbl. 1019.20003, (With A. Rahnamaei Barghi).
  4. Equivalence classes of matrices in GL2(q) and SL2(q), Korean J. Comput. Appl. Math. 6 (1999), no. 2, 331-344, MR 2000e: 20074, Zbl. 929.20038, (With F. Nowroozi Larki).
  5. Orthogonal basis of the symmetry classes of tensors associated with the direct product of permutation groups, Pure Math. Appl. 10 (1999), no. 3, 241-248, MR 2001f: 15030, Zbl. 0954.20011, (With N.S. Poursalavati).

2000

  1. Towards a clsassification of integral table algebras of degree five, Beiträge Algebra. Geom. 41 (2000), no. 1, 33-47, MR 2002b: 20018, Zbl. 0964.20005, (With A. Rahnamaei Barghi).
  2. On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group, Linear and Multilinear Algebra 47 (2000), 137-149, MR 2001a: 20025, Zbl. 0964.20006, (With M.R. Pournaki).
  3. Computation of the dimensions of symmetry classes of tensors associated with the finite two dimensional projective special linear group, Algebra Engrg. Comm. Comput. 10 (2000), no.3, 237-250, MR 2001i: 20102, (With M.R. Pournaki).
  4. The character table of the group GL2(q) when extended by an automorphism of order two, Korean J. Comput. Appl. Math. 7 (2000), no. 3, 643-654, MR 2002g:20013,Zbl. 0979.20009, (With F. Nowroozi Larki).
  5. A characterization of some finite groups by their elements order, Algebra Colloq. 7 (2000), no.4, 467-476, MR 2002i:20023, Zbl. 0969.20010, (With A.R. Moghaddamfar).
  6. (2,p,q)-generations of the Conway’s group Co1 , Kumamoto Math. 13 (2000), 1-20, MR 2001e: 20016, Zbl. 949.20012, (With A.R. Ashrafi).
  7. Non-vanishing and orthogonal basis of symmetry classes of tensors, Southeast Asian Bull. Math. 24 (2000), no. 4, 525-531, MR 2001j: 15017, Zbl. 0979.20015, (With M.R. Pournaki).
  8. On some permutation character of the finite symplectic group, Hadronic J. 23 (2000), no. 4, 425-438, MR 2001k: 20022, Zbl. 1009.20015.
  9. Some results on the orthogonal basis of a symmetry class of tensors, Pure Math. Appl. 11 (2000), no. 1, 33-41, MR 2002a: 20018, Zbl. 0973.20009, (With N.S. Poursalavati).
  10. A characterization of groups related to the linear groups PSL(n,2), n= 5,6,7,8, Pure Math. Appl. 11 (2000), no. 4, 629-637, MR 2002m:20040, Zbl. 1017.20006, (With A.R. Moghaddamfar).
  11. A note on Cayley-Hamilton theorem for generalized matrix function, Pure Math. Appl. 11 (2000), no. 4, 553-557, MR 2002j:15037, Zbl. 0994.15032, (With K. Mallahi and M.R. Pournaki).

2001

  1. Charaterization of the groups PSL5(2), PSL6(2) and PSL7(2), Algebra 29 (2001), no. 1, 465-475, MR 2002c:20033, Zbl. 0989.20018. Corrigendum: Comm. Algebra 31 (2003), no. 9, 4651-4633, MR 2004e:20037, (With A. R. Moghaddamfar).
  2. The rational character table and quasi-permutation representations of the group PGL(2,q), J. Pure Appl. Math. 11 (2001), 19-28, MR 2004g:20019, (With H. Behravesh, A. Daneshkhah, M. Ghrobany).
  3. Quasi-permutation representation of the group GL2(q), Algebra 243 (2001), 142-167, MR 2002g:20027, Zbl. 1014.20003, (With M. Ghorbany, A. Daneshkhah and H. Behravesh).
  4. A quantitative characterization of the alternating group Ap, Southwest China Normal University 26 (2001), no. 2, 125-128, MR 2002b:20020, (With A.R. Moghaddamfar).
  5. Factorization of groups involving symmetric and alternating groups, J. Math. Math. Sci. 27 (2001), no. 3, 161-167, MR 2002i:20032, Zbl. 01751236, (With G. R. Rezaeezadeh).
  6. (p,q,r)-generations of the Conways’ group Co1 for odd p, Kumamoto Math. 14 (2001), 1-20, MR 2002d:20020, Zbl. 0980.20007, (With A.R. Ashrafi and G.A. Moghani).
  7. On the existence of the orthogonal basis of a symmetry classes of tensors associated with certain groups, SUT J. Math. 37 (2001), no. 1, 1-17, MR 2002j:15038, Zbl. 0999.20006, (With N.S. Poursalavati).
  8. A characterization of some symmetric and linear groups, Algebras Groups Geom. 18 (2001), no.3, 281-299, MR 2002j:20045, (With A.R. Moghaddamfar and A.R. Zokayi).
  9. On the set of order elements of G=PSL(3,q) when extended by a subgroup of Out(G), Algebras Groups Geom. 18 (2001), no. 4, 473-484, MR 2002j:20033, (With N.S. Karamzadeh).

2002

  1. Quasi-permutation representation of the groups SU(3,q2), and PSU(3,q2), Southeast Asian Bull. Math. 26 (2002), 395-406, MR 2004k:20018, Zbl. 1033.20010, (With M. Ghorbany).
  2. Quasi-Permutation representation of the groups SL(3,q) and PSL(3,q), Iran. J. Sci. Technol. Trans. A Sci. 26 (2002), no. A1, 145-154, Zbl. 1006.20003, (With M. Ghorbani).
  3. A characterization of  groups PSL(3,q) by their element orders for certain q, Korean J. Comput. Appl. Math. 9 (2002), no. 2, 409-421, MR 2003a:20024, Zbl. 1008.20010, (With N.S. Karamzadeh).
  4. Product of the symmetric group with the alternating group on seven lettersQuasigroups Related Systems 9 (2002), 33-44, MR 2003j:20031, Zbl. 1036.20025.

2003

  1. Groups which are the product of S6 and a simple group,Algebra Colloq. 10 (2003), no. 2, 195-204, MR 2004e:20035, Zbl 1038-20013, (With G.R. Rezaeezadeh and G.L. Walls).
  2. (p,q,r)-generations of the sporatic group O’N, Groups St. Andrews 2001 in Oxford. Vol. I, 101–109, London Soc. Lecture Note Ser. 304, Cambridge Univ. Press, Cambridge, 2003, MR 2004m:20034, Zbl 1047.20012, (With A.R. Ashrafi and G.A. Moghani).
  3. (p,q,r)-generation and nx-complementary generations of the sporadic group Ly, Kumamoto J. Math. 16 (2003), 13-25, MR 2004e:20023, Zbl 1046.20018, (With A.R. Ashrafi and G.A. Moghani).
  4. Classification of minimal PN-groups, JP journal of Algebra Number Theory Appl. 3 (2003), no. 3, 211-218, MR 2004g:20024, (With A.R. Moghaddamfar and A.R. Zokayi).
  5. Generating pairs for the sporadic group Ru, Appl. Math. Comput. 12 (2003), no. 1-2, 143-154, MR 2004b:20026, Zbl 1063.20034, (With A.R. Ashrafi).
  6. On some permutation modules of the general linear groups, Algebras Groups Geom. 20 (2003), no. 2, 125-140, MR 2004f:20019, Zbl 1046.20033, (With M. Khademi).

2004

  1. nx-complementary generations of the sporadic group He, J. Pure Appl. Math. 16 (2004), 145-154, MR 2005g:20030, (With G.A. Moghani).
  2. nx-complementary generations of the sporadic group O’N, Southeast Asian Bull. Math. 28 (2004), no. 6, 1011-1019, MR 2005i:20020, (With A.R. Ashrafi and G.A. Moghani).
  3. On characterizability of the authomorphism groups by their element orders, Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 4, 653-662, MR 2005g:20043, Zbl 1071.20029 (With A.R. Moghaddamfar and A.R. Zokayi).
  4. Finite groups which factors as product of an alternating group and a simple group, Algebra 32 (2004), no. 2, 637-647.
  5. A recognition of simple groups PSL(3,q) by their element orders, Acta Math. Sci. Ser. B Engl. Ed. 24 (2004), no. 1, 45-51, MR 2036061, Zbl 1064.20016, (With A.R. Moghaddamfar and A.R.Zokayi).
  6. A family of finite simple groups which are 2-recognizable by their elements order, Algebra 32 (2004), no. 11, 4507-4513, MR 2005g:20029, (With A.R. Moghaddamfar).
  7. Special representations of the group SP(4,q) with minimal degrees, Math. Hungar. 102 (2004), no. 4, 287-296, Zbl 1049.20006, (With M. Ghorbany).
  8. Frobenius Q-groups, Math. (Basel) 83 (2004), no. 2, 102-105, MR 2005h:20007, (With H. Sharifi).
  9. nx-complementary generations of the sporadic group Co1, Acta Math. Vietnam. 29 (2004), no. 1, 57-75, MR 2005a:20026, Zbl 1074.20010, (With A.R. Ashrafi and G.A. Moghani).
  10. Factorizable non-simple groups which factor as product of the linear fractional groups and the symmetric groups, Southeast Asian Bull. Math. 28 (2004), 611-614, MR 2005c:20038, Zbl 1065.20033, (With A. Mahmiani).

2005

  1. Finite groups which are product of L2(8) or L2(7) with a symmetric group, Algebra Colloq. 12 (2005), no. 1, 1-10, MR 2005k:20049, Zbl 1065.20034, (With A.R. Moghaddamfar).
  2. A characterization of finite simple groups by the degrees of vertices of their prime graphs, Algebra Colloq. 12 (2005), no. 3, 431-442, MR 2006a:20028, Zbl 1072.20015, (With A.R. Moghaddamfar and A. R. Zokayi).
  3. Computing the full non-rigid group of tetranitrocubane and octanitrocubane using wreath product, MATCH Commun. Math. Comput. Chem. 54 (2005), no. 1, 53-74, MR 2005m:92069, (With Y. Farjami and A. R. Ashrafi).
  4. Order of elements in the groups related to the general linear group, Finite Fields Appl. 11 (2005), no. 4, 738-747.
  5. The non-rigid group of tetraamine platinum (II) as a wreath product, Chem. Soc. Jpn. 78 (2005), no. 6, 996-1000, (With Y. Farjami and A. R. Ashrafi).
  6. A quantitative characterization of the linear group in dimension eleven over the binary field, Algebras, Groups Geom. 22 (2005), no. 1, 37-48, MR 2006a:20025, (With Y. Farjami).
  7. Symmetries of weighted complete graph of tetranitrocubane and octanitrocubane, MATCH Commun. Math. Comput. Chem. 54 (2005), no. 2, 331-340, (With Y. Farjami and A. R. Ashrafi).
  8. Computing the full non-rigid group of tetra-tert-butyltetrahedrane using wreath product, J. Quantum Chem. 105 (2005), no. 5, 485-492, (With A. R. Ashrafi and A. Darafsheh).
  9. Some results on the characterizability of the linear groups over the binary field, Math. Univ. Carolin. 46 (2005), no. 4, 589-600, (With Y. Farjami, M. Khademi and A. R. Moghaddamfar).
  10. Group theory for tetramethylethylene, Acta Chim. Slov. 52 (2005), no. 3, 282-287, (With A. R. Ashrafi and A. Darafsheh).
  11. Factorization of simple groups involving the alternating group, Quasigroups Related Systems 13 (2005), no. 2, 203-211.

2006

  1. The full non-rigid group of hexamethylbenzene using wreath product, Phys. Lett. 421 (2006), no. 4-6, 566-570. (With A. R. Ashrafi and A. Darafsheh).
  2. Designs from the group PSL2(q), q even, Codes Cryptogr. 39 (2006), no. 3, 311-316.
  3. Relation between Frobenius and 2-Frobenius groups with order components of the finite groups, Appl. Math. Comput. 21 (2006), no. 1-2, 437-450. (With N. S. Karamzadeh and A. R. Moghaddamfar).
  4. On groups with the same set of order elements, Math. Forum 1 (2006), no. 25-28, 1325-1334. (With Y. Farjami and A. Sadrudini).
  5. The characterization of PGL(2,p) for some p by their element orders, Math. Forum 1 (2006), no. 37-40, 1833-1840. (With A.R. Moghaddamfar and A.R.Zokayi).
  6. Computation of the character table for p-Xylene, MATCH Commun. Math. Comput. Chem. 56 (2006), no. 2, 271-278. (With A. Darafsheh).

2007

  1. Non-rigid group theory for 1,3,5-trimethylbenzene, J. Quantum Chem. 107 (2007), no. 2, 340-344. (With A. Darafsheh and A. R. Ashrafi).
  2. Full non-rigid group of sponge and pina, Math. Chem. 41 (2007), no. 3, 315-326. (With Y. Farjami, A. R. Ashrafi and M. Hamadanian).
  3. A characterization property of the simple group PSL4(5) by the set of its element orders, Math. (Brno), 43 (2007), no. 1, 31-37. (With Y. Farjami and A. Sadrudini).
  4. The simple group L12(2) is characterizable by its element orders, J. Pure Appl. Math. 21 (2007), 27-34. (With Y. Farjami, M. Khademi).
  5. A quantitative characterization of the linear group Lp+1(2) where p is a prime number, Kumamoto Math. 20 (2007), 33-50. (With A. Mahmiani).
  6. Some results on Q-groups, Slovaca 57 (2007), no. 3, 219-224. (With H. Sharifi).
  7. Sylow 2-subgroup of solvable Q-groups, Extracta Math. 22 (2007), no. 1, 83-91.(With H. Sharifi).
  8. Non-rigid group theory for 2,3-dimethylbutane, MATCH Commun. Math. Comput. Chem. 58 (2007), no. 1, 47-56. (With A. R. Ashrafi and A. Darafsheh).
  9. Calculating the set of orders of elements in the finite linear groups, Discrete Math. Sci. Cryptogr. 10 (2007), no. 5, 637-653. (With Y. Farjami).
  10. Simple groups which are products of the linear fractional group with the alternating or the symmetric group, Hadronic J. 30 (2007), no. 1, 109-122. (With M. Khademi).
  11. Involutions in Q-groups, Balkanica 21 (2007), no. 3-4, 399-405. (With H. Sharifi).

2008

  1. On non-isomorphic groups with the same set of order components, Korean Math. Soc. 45 (2008), no. 1, 137-150.
  2. The symmetry group of non-rigid tetramethylsilane, J. Quantum Chem. 108 (2008), no. 3, 440-446.(With A. Ashrafi and A. Darafsheh).
  3. Some designs related to group actions, Combin. 86 (2008), no. 1, 65-75. (With A. R. Ashrafi and M. Khademi).
  4. Recognition of the linear groups over the binary field by the set of their element orders, Acta Math. Vietnam. 33 (2008), no. 1, 27-38. (With Y. Farjami and A. Mahmiani).
  5. On recognition property of some projective special linear groups by their element orders, Math. 75 (2008), 125-137.(With N. S. Karamzadeh)
  6. A characterization of the simple group PSL5(5) by the set of its element orders, Siberian Math. J. 49 (2008), no. 3, 418-422. (With A. Sadrudini).
  7. Pure characterization of the projective special linear groups, J. Pure Apll. Math. 23 (2008), 229-244.
  8. Characterizablity of the group 2Dp(3) by its order components, where p≥5 is a prime number not of the form 2m+1, Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 7, 1117-1126.
  9. On the ordinary irreducible characters of the Heisenberg group and a similar special group, Algebra Colloq. 15 (2008), no. 3, 471-478. (With M. Misaghian).
  10. Markaracter table and Q-Conjugacy character table for the non-rigid group 1,3,5-trimethylbenzene, Chem. Soc. Jpn. 81 (2008), no. 8, 979-982. (With G. A. Moghani).
  11. On the recognition of the simple groups L7(3) and L8(3) by the spectrum, J. Algebra Comput. 18 (2008), no. 5, 925-933.
  12. Group theory for tetramethylethylene, II, Acta Chim. Slov. 55 (2008), no. 3, 602-607. (With A. Moghani and S. Naghdi).
  13. The maximum element order in the groups related to the linear groups which is a multiple of the defining characteristic, Finite Fields Appl. 14 (2008), no. 4, 992-1001.
  14. Group theory for tetramethylsilane, application in combinatorial isomer enumeration, J. Chem. Model. 1 (2008), no. 3-4, 435-444. (With A. Moghani, M. Karami, A. Zaeembashi and S. Naghdi).
  15. Towards a characterization of the linear groups over the binary field, J. Math. Game Theory Algebra. 18 (2008), no. 4-5, 351-362. (With Y. Farjami, N. S. Karamzadeh and M. Khademi).

2009

  1. Groups with the same non-commuting graphs, Discrete Appl. Math. 157 (2009), no.4, 833-837.
  2. Some designs and codes invariant under the groups S9 and A8, Codes Cryptogr. 51 (2009), no. 2, 211-223. (With A. Iranmanesh and R. Kahkeshani).
  3. Q-conjugacy character table of the non rigid group of 2,3-dimethylbutane, Serb. Chem. Soc. 74 (2009), no. 1, 45-52. (With A. Moghani)
  4. 2-Frobenius Q-groups, Indian J. Pure Appl. Math. 40 (2009), no. 1, 22-29. (With A. Iranmanesh and S. A. Moosavi).
  5. The full non-rigid group of 1,3,5-trimethyl-2,4,6-trinitrobenzene using wreath product, Asian J. Chem. 21 (2009), no. 42, 3631-3636. (With A. Ashrafi and A. Darafsheh).
  6. Products of the symmetric or alternating groups with L3(3), Quasigroups Related Systems 17 (2009), no. 1, 11-18. (With A. Mahmiani).
  7. On designs constructed by group actions, Combin. Math. Combin. Comput. 70 (2009), 235-245. (With A. R. Ashrafi and M. Khademi).
  8. A characterization of the group 2Dn(2), where n=2m+1≥5, Appl. Math. Comput. 31 (2009), no. 1-2, 447-457. (With A. Mahmiani).
  9. Self-dual designs and their binary codes obtained from the group PSL2(13), Math. Inform. 18 (2009), no. 2, 172-181. (With R. Kahkeshani and A. Iranmanesh).
  10. Designs from the groups PSL2(q) for certain q, Math., 32 (2009), no. 3, 297-306. (With A. Iranmanesh and R. Kahkeshani)
  11. Some another remarks on the generalization of Bernoulli and Euler numbers, Scientia Magna 5 (2009), no. 3, 118-129. (With H. Jolany)

2010

  1. Computation of topological indices of some graphs, Acta Appl. Math. 110 (2010), no. 3, 1225-1235.
  2. On recognition property of the projective special linear group over GF(3), Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 3, 477-488.
  3. Characterization of the groups Dp+1(2) and Dp+1(3) using order components Korean Math. Soc. 47 (2010), no. 2, 311-329.
  4. Groups whose non-linear irreducible characters are rational valued, Math. (Basel) 94 (2010), no. 5, 411-418. (With A. Iranmanesh and S. A. Moosavi)
  5. A characterization of the groups PSU(4,4) and PSL(4,4) by non-commuting graph, Math. 81 (2010), 165-185. (With A. Davoodi Monfared)
  6. About a decomposition of the group Zpq where p and q are odd primes, European J. Combin. 31 (2010), 1880-1886. (With I. Cristea).
  7. A decomposition of the cyclic group of order p and p² where p is a prime number, Intell. Fuzzy Syst. 21 (2010), 255-259. (With I. Cristea).
  8. Full non-rigid group theory for hexamethylethane, Asian J. Chem. 21 (2010), no. 3, 1966-1972. (With G. A. Moghani).
  9. Some Results on non-commuting graph of a finite group, J. Pure Apll. Math. 27 (2010), 107-118. (With H. Bigdely, A. Bahrami and A. Davoodi Monfared)
  10. Generalizations of poly-Bernoulli numbers and polynomials, J. Math. Comb., 2 (2010), 7-14. (With H. Jolany and A. R. Eizadi)

2011

  1. Characterization of A16 by non-commuting graph, Math. J. 62 (2011), no 11, 1673-1679. (With A. Davoodi Monfared)
  2. The Wiener, Szeged, and PI indices of a denderimer nanostar, Comput. Theor. Nanosci. 8 (2011), no. 2, 220-223. (With M. H. Khalifeh and H. Jolany)
  3. Computing the Wiener index of a phenylenic pattern, Nanotub. Carbon Nanostruct. 19 (2011), no. 8, 749-752. (With H. Jolany and M. H. Khalifeh)
  4. Calculation of the Wiener, Szeged, and PI indices of a certain nanostar dendrimer, Combin. 100 (2011), 289-298. (With M. H. Khalifeh)
  5. The Wiener, Szeged and PI-indices of a phenylazomethine dendrimer, J. Nanomater. Biostruct. 6 (2011), no. 4, 1545-1549. (With M. Golriz and M. H. Khalifeh)
  6. A rational property of the irreducible characters of a finite group, Groups St. Andrews 2009 in Bath. Vol. 1, 224-227, London Math. Soc. Lecture Note Ser. 387, Cambridge Univ. Press, Cambridge, (With A. Iranmanesh and S. A. Moosavi)
  7. Topological indices of a hexagonal net, Graph Theory Notes N. Y. 60 (2011), 23-28. (With M. Golriz and M. H. Khalifeh)
  8. Topological indices of the double odd graph 2Ok, Math. Inform. 20 (2011), no, 2, 163-170. (With R. Mohammadyari)

2012

  1. Recognition of the groups L5(4) and U4(4) by prime graph, Math. J. 64 (2012), no. 2, 238-246. (With P. Nosratpour).
  2. Topological indices of the Kneser graph KGn,k, Filomat, 26 (2012), no. 4, 665-672. (With R. Mohammadyari).
  3. A characterization of the group Ap+3 by its non-commuting graph, Electron. J. Algebra 11 (2012), 160-164. (With P. Yousefzadeh).
  4. Some results on characterization of finite groups by non-commuting graph, Combin. 1 (2012), no. 2, 41-48. (With P. Yousefzadeh).
  5. Recognition of the group G2(5) by the prime graph, Linear and Topological Algebra, 1 (2012), no. 2, 105-109. (With P. Nosratpour).
  6. OD-characterization of the simple groups related to U(3,11). Linear Topological Algebra, 1 (2012), no. 1, 27-32. (With P. Nosratpour).

2013

  1. On products of irreducible characters and products of cojugacy classes in finite groups, Algebra 41 (2013), 2879-2883. (With S. M. Robati)
  2. A characterization of the group A22 by non-commuting graph, Korean Math. Soc. 50 (2013), no. 1, 117-123. (With P. Yousefzadeh).
  3. Characterization of the groups G2(q) for 2<q≡-1(mod3) by order components, Siberian Math. J., 54 (2013), no. 5, 883-893. (With P. Nosratpour)
  4. Normal edge-transitive Cayley graphs on non abelian groups of order 4p, where p is a prime number, Science China Math. 56 (2013), no.1, 213-219. (With A. Assari)
  5. The hyper-Wiener index of one-pentagonal carbon nanocone, Current Nanoscience, 9 (2013), 557-560. (With H. Joolany and M. H. Khalifeh).
  6. Products of conjugacy classes and products of irreducible characters in finite groups, Turkish J. Math. 37 (2013), 607-616. (With S. M. Robati).
  7. Remarks on the Wiener index of unicyclic graph, Appl. Math. Comput. 41 (2013), no. 1-2, 49-59. (With R. Nasiri, H. Yousefi-Azari, and A. R. Ashrafi).
  8. Characterization of the group Dp(5) by order components, where p≥5 is a prime number, Southeast Asian Bull. Math. 37 (2013), no. 6, 867-885 (With M. Khademi).
  9. Characterization of the symmetric group by its non-commuting graph, J. Group Theory, 2 (2013), no. 2, 47-72. (With P. Yousefzadeh).
  10. On maximal and minimal linear matching property, Algebra Discrete Math. 15 (2013), no. 2, 174-178. (With M. Aliabadi).
  11. OD-characterization of almost simple groups related to U3(17), Quasigroups and Related Systems, 21 (2013), 49-58. (With G. Rezaeezadeh, M. Sajjadi, and M. Bibak).
  12. OD-characterization of almost simple groups related to 2E6(2), Advances in Algebra, 6 (2013), no. 1, 45-54. (With G. Rezaeezadeh, M. Sajjadi, and M. Bibak).
  13. The PI index of polyomino chains of 2k-cycles, Creative Math. Inform. 22 (2013), no. 1, 81-96. (With R. Mohammadyari).
  14. Non-factorizable groups, J. Pure Appl. Math. 31 (2013), 43-48. (With G. R. Rezaeezadeh and M. R. Dehghan Koruki).

2014

  1. Powers of irreducible characters and conjugacy classes in finite groups, Algebra Appl., 13 (2014), no. 8, 1450067. (With S. M. Robati).
  2. OD-characterization of all finite nonabelian simple groups with orders having prime divisors at most 13, Siberian Math. J., 55 (2014), no. 4, 658-666. (With P. Nosratpour).
  3. OD-Characterization of almost simple groups related to L3(25), Iranian Math. Soc. 40 (2014), no. 3, 765-790. (With G. R. Rezaeezadeh, M. Sajjadi, and M. Bibak).
  4. On OD-characterizability of a certain alternating and symmetric group, J. Pure Appl. Math. 32 (2014), 7-14. (With A. Mahmiani).
  5. Topological indices of the bipartite Kneser graph Hn,k, Filomat, 18 (2014), no. 10, 1989-1996 (with R. Mohammadyari).
  6. Powers of conjugacy classes in certain p-groups, J. Math. Game Theory Algebra, 22 (2014), no. 3, 241-251. (With S. M. Robati)

2015

  1. On maximal subsets of pairwise non-commuting elements in finite groups, Bulletin Austral Math. Soc., 92 (2015), 380-389 (with M. Ghorbani and S. K. Prajapati)
  2. OD-characterization of almost simple groups related to D(4,4), J. Math. Sci. and Informatics, 1 (2015), no.1, 23-34. (with G. R. Rezaeezadeh, M. Bibak and M. Sajadi)
  3. Conditions on the Edges and Vertices of Non-commuting Graph, Jurnal Teknologi 74 (2015), no. 1, 73-76. (with M Jahandideh, N. H. Sarmin, S. M. S. Omer)

2016

  1. Finite simple groups which are the products of symmetric or alternating groups with L(3,4), J. Group Theory, 5 (2016), no. 1. (with G. R. Rezaeezadeh and S. E. Mirdamadi)
  2. Normal edge-transitive Cayley graphs on certain groups of order 4n and 8n, Quasigroups and Related Systems, 24 (2016), 17-23. (with M. Abdollahi)
  3. On semirational Frobenius groups, J. Alg. Appl., 15 (2016), no. 2, 1650033 (with S. H. Alavi and A. Daneshkhah)
  4. On the size of maximal subsets of pairwise non-commuting elements in a certain special p-group, Combin. and Number Theory, 1 (2016), no. 1, 65-69 (with M. Ghorbani and S. K. Prajapati)

2017

  1. Characterization of the group G2(5) by the prime graph, Ukrainian Math. Journal, 68 (2017), no. 8, 1308-1313. (with P. Nosratpour)
  2. The topological indices of some dendrimer graph, Iranian Journal of Mathematical Chemistry, 8 (2017), no. 1, 25-35. (With M. Namdari and S. Shokrolahi)
  3. Computing Szeged index of graphs on triples, Iranian Journal of Mathematical Chemistry, 8(2017), 175-180. (with R.Modabernia and N.Namdari).
  4. Tetravalent normal edge-transitive Cayley graphs on a certain group of order 6n, Turkish journal of Math. 41 (2017), no. 5,1354-1359. (with M.Yaghoubian).
  5. Tetravalent normal edge-transitive Cayley graphs on the modular group, Turkish journal of Math. 41 (2017), no. 5, 1308-1312 (with H. Sharifi).
  6. On connected tetravalent Cayley graphs of a non-abelian group of order 3p2, Algebra Colloq. 24 (2017), no. 3, 467-480 (with M. Abdollahi).
  7. Irreducible characters of p-groups of order ≤ p5, Algebras and Representation Theory, 20 (2017), 1289-1303 (With S. K. Prajapati and M. Ghorbani).
  8. Characterization of almost simple groups related to U-3(11) with degree pattern, Southeast Asian Bull. Math. 41(3) (2017), 457-464 (P. Nosratpour).
  9. Computing Szeged index of graphs on triples, Iranian J. Math. Chem., 8 (2017), no. 2, 175-180 (With R.Modabernia  and M.Namdari)
  10. Zagreb, multiplicative Zagreb indices and co-indices of graphs, J. Industrial Math., 9 (2017), no. 1, 47-57 (with V.Ahmadi and J.Hashemi).

2018

  1. Zagreb, multiplicative Zagreb indices and coindices of NCn(k) and Ca3(C6) graphs, Bol. Soc. Paran. Mat. 36 (2018), no. 2, 9-15. (with V.Ahmadi)
  2. NSE characterization of the Chevalley group G_2(4), J. Math. (2018) 7:21-26 (with M.Jahandideh)
  3. Zagreb, multiplicative Zagreb indices and co-indices of NC_n(k) and Ca_3(C_6) graphs, Bol. Soc. Para. Mat., (3s.) 36 (2018), no. 2, 9-15 (with V. Ahmadi).
  4. On G-graphs of certain finite groups, Involve, A Journal of Mathematics, 11 (2018), no. 3, 463-479 (with S. Madady Moghadam)
  5. On sum of Sylow numbers of finite groups, Ir. Math. Soc. (with A. Khalili). To appear.
  6. On prime graph of a finite group, Miskolc Math. Notes (with M. Ghorbani and Pedram Yousefzadeh). To appear.
  7. Cayley graphs of a group of order 6_n, Ars Combinatoria, 136 (2018) 365-382 (with M. Yaghoubian)
  8. The influence of order and conjugacy class length on the structure of finite groups, Hokaido Math. J., vol. 47, no. 1. (2018) 25-32 (with A. Khalili and R. Mohammadyari)
  9. Metabelian Q_1-groups, Competes Rendus Math., vol. 356, Issue 2, (2018) 138-140 (with M. Rezakhanlou)

 

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