
Alireza
Abdollahi


B.Sc.
in Mathematics  M.Sc. in Mathematics  Title
of M.Sc. Thesis: Some results and problem arising from a question of Paul
Erdos Supervisor:
Prof. A. Mohammadi Hassanabadi First
Ph.D. in Mathematics  Title of Thesis: Some
combinatorial conditions on groups Supervisor
of First Ph.D.: Prof. A. Mohammadi Hassanabadi Second Ph.D. in Mathematics  Universite de Provence, CMI
France (October 2000June 2001) Title of Thesis: Quelques conditions d'Engel dans certaines classes de
groupes. (In
English: Some Engel conditions in certain classes of groups) Supervisor of Second
Ph.D.: Prof. Gerard Endimioni 

Employment: Assistant
Professor, Department of Mathematics,
University
of Isfahan, 20012005. Associate
Professor, Department of Mathematics,
University
of Isfahan, 20052009. Professor, Department of Mathematics,
University
of Isfahan, 2009. 

Courses Taught: 1. Algebra 1 2. Linear Algebra 3. Advanced Algebra 4. Topics in Group Theory 5. Coding Theory 6. Topics in Ring Theory 7. Graph Theory 8. Algebra 3 

Research Interests: 1. Combinatorial conditions on finite and infinite subsets
of groups and rings 2. Engel elements in groups 3. Noninner automorphisms of order p in finite pgroups 4. Integral Cayley graphs and onefactorizations in Cayley
graphs 5. NonCommuting graph, nonnilpotent graph, Engel graph,
noncyclic graph of groups Mathematics Subject
Classifications (2000): 20; 16; 05; 20F45; 20D60; 20D45. 



AWARDS and Honors: 1. First grade student in B.Sc. 2. First grade student in M.Sc. 3. First grade student in Ph.D. 4. Second prize in Alkharazmi young festival 1999. 5. First prize in Sheikh Bahaei festival 1999. 6. Ten months scholarship from 7. Selected by Internatinal Mathematical Union (IMU) for a grant to attendance in
Internatinal Congress of Mathematicians (ICM) 2002 in ChinaBeijing. 8. Scholarship from the abdus salam international
centre for theoretical physics (ICTP) in ItalyTrieste
for passing one month in the centre from 24 July 2003 to 24 August 2003. 9. Awarded to become a Junior
Associate of ICTP for the period 20032008. 10. Distinguished researcher in basic sciences of
the University of Isfahan (20052006). 11. Distinguished lecturer of 20062007 in Faculty of
Sciences in University of Isfahan. 12. Received ``Institute
for Studies in Theoretical Physics and Mathematics (IPM)'' Young Mathematician Prize of 2005. 13. Head of distinguished Center of Excellence in Basic
Sciences (Selected by Ministry of Science and Education) 1388 (2010). 

Honorary Activities: 1. Reviewer of Zentralblatt MATH. 2. Reviewer of the American Mathematical Reviews. 3. EditorinChief of International Journal of Group Theory. To submit a paper one must first register in the Online Editorial System of IJGT. 4. EditorinChief of Transactions on Combinatorics. To submit a paper one must first register in the Online Editorial System of TOC. 5. Referee for a) Algebra Colloquium. (World Scientific). b) Journal of Applied Mathematics & Computing.
(Korean Society for Computational & Applied Mathematics and the Korean
SIGCAM) c) Communications in Algebra (Taylor & Francis) d) Far East Journal of Mathematical Sciences (FJMS)
(Pushpa Publishing House) e) Bulletin of the Malaysian Mathematical Sciences Society f) Linear Algebra and its Applications (Elsevier Inc.) g)
Journal of Sciences, Islamic
Republic of Iran (University of Tehran) h) International Electronic Journal of Algebra (Int.
Electron. J. Algebra, Turkey) i) Utilitas Mathematica (Univ. Natal Dept. Math. Appl. Math.
Durban, South Africa) j) Ars Combinatoria (Charles Babbage Res. Centre, Canada) k) Journal of Group Theory (Walter de Gruyter) m) Publicationes
Mathematicae Debrecen (The Institute
of Mathematics,University of Debrecen,
n) International Journal of Mathematics and Mathematical
Sciences (Hindawi Publishing Corporation) p) Acta Mathematica Sinica (Institute of Mathematics, Chinese Academy of Sciences and
Chinese Mathematical Society, published by Springer) q) Journal of Algebra (Elsevier Inc.) r) Bulletin of the Iranian Mathematical Society s) American Mathematical Monthly t) Journal of Algebraic Combinatorics (Springer) Collaboration in Conference Organizing: 1)
Member
of the Scientific and Administrative Committees of
The first TwoDays
Group Theory Seminar in IRAN. 2)
Member
of the Scientific Committee of the 20^{th} Seminar on
Algebra of IRAN. 3) Member of the Scientific Committee of The Second Group Theory Conference in IRAN, Mashhad. 4)
Member
of the Scientific Committee of The Third Conference
and Workshop on Group Theory, IRAN, Tehran. 5) Member of the Scientific Committee of The First Biennial International Group Theory Conference 2011, Malaysia, Johor Bahru. 6) Member of the Scientific and Organizing Committee of The Third Algebraic Combinatorics Conference of Iran, 2011, University of Isfahan. 7)
Member
of the Scientific Committee of The Fourth
Group Theory Conference of IRAN, Isfahan Payame Noor University, March 79,
2012. 8) Member of the Scientific Committee of The Fifth Group Theory Conference of IRAN, Islamic Azad University, Mashhad Iran, March 1315, 2013. 9) Member of the Scientific Committee of The 23th Algebra Seminar of IRAN, Khansar Faculty of Computer and Mathematics, Khansar Isfahan, Iran, November 2122, 2013. 10) Member of the Scientific Committee of the 6th National Mathematics Conference of Payam Noor University, Isfahan, Iran, 56 March 2014. 11) Member of the Scientific Committee of The Sixth Group Theory Conference of IRAN, Golestan University, Gorgan, March 1213, 2014.
13) Member of the Scientific Committee of The 8th Group Theory Conference of IRAN, University of Tabriz, Tabriz, 35 February, 2016. 14) Member of the Scientific Committee of The 4th Biennial International Group Theory Conference, Malaysia, Kuala Lumpur, Universiti Teknologi Malaysia, 2326 January, 2017. 15) Member of the Scientific Committee of The 9th Group Theory Conference of IRAN, University of Kashan, Kashan, 13 February, 2016.


Papers: Published or Accepted in 2017 97. Alireza Abdollahi and Z. Taheri, Zero divisors and units with small supports in group algebras of torsionfree groups, to appear in Communications in Algebra. [PDF] 96. Alireza Abdollahi, M. Arezoomand, Finite nilpotent groups that coincide with their 2closures in all of their faithful permutation representations, to appear in Journal of Algebra and Its Applications. [PDF] 95. Alireza Abdollahi, M. Ghuedri and Y. Guerboussa, Nontriviality of Tate cohomology for certain classes of finite pgroups, to appear in Communications in Algebra. [PDF] 94. Alireza Abdollahi, M. Jazaeri and Edwin R. van Dam, Distanceregular Cayley graphs with least eigenvalue 2, Designs, Codes and Cryptography, 84 No. 1 (2017) 7385. [PDF] 93. Alireza Abdollahi, S. M. Ghoraishi and M. Ahmadi, Finite pgroups with the least number of outer pautomorphisms, Journal of Algebra and Its Applications, Vol. 16, No. 5 (2017) 1750111 (12 pages). [PDF] 92. Alireza Abdollahi and S. M. Ghoraishi, On noninner automorphisms of 2generator finite pgroups, Comm. Algebra, Vol. 45, No. 8 (2017) 36363642. [PDF] 91. Alireza Abdollahi, Sh. Janbaz and M Ghahramani, A large family of cospectral Cayley graphs over dihedral groups, Discrete Mathematics, Vol. 340 (2017) 11161121. [PDF] Published or Accepted in 2016
90. Alireza Abdollahi and M. Jazaeri, Integral graphs with distinct eigenvalues, to appear in Ars Combinatoria. [PDF] 89. Alireza Abdollahi, Sh. Janbaz and M. Jazaeri, Groups all of whose undirected Cayley graphs are determined by their spectra, Journal of Algebra and Its Applications, Vol. 15, No. 9 (2016) 1650175 (15 pages) . [PDF]
88. Alireza Abdollahi
and Amir Loghman,
Cayley graphs isomorphic to the product of two Cayley graphs, Ars Combinatoria,
126 (2016) 301310. [PDF]
Published or Accepted in 2015
87. Alireza Abdollahi and H. Mousavi, Finite nilpotent groups whose cyclic subgroups are TIsubgroups, to appear in Bull. Malays. Math. Sci. Soc. [PDF] 86. Alireza Abdollahi and M. Zallaghi, Character sums for Cayley graphs, Comm. Algebra, 43 (2015) 51595167. [PDF] 85. Alireza Abdollahi, Sh. Janbaz and M. R. Oboudi, Distance between spectra of graphs, Linear Algebra and its Applications, Vol. 466 (2015) 401408. [PDF] 84. Alireza Abdollahi, Nonsolvable groups generated by involutions in which every involution is left 2Engel, Journal of Group Theory, Vol. 18 No. 1 (2015) 111114. [PDF] Published or Accepted in 2014 83. A. Tavakoli, A. Rejali, A. Yousofzadeh and Alireza Abdollahi, A note about configuration of a group, MATEMATIKA, Vol. 30, No. 2 (2014) 117121. [PDF] 82. Alireza Abdollahi, Sh. Janbaz and M. R. Oboudi, Cospectrality measures of graphs with at most six vertices, Journal of Algebraic Structures and their Applications, Vol. 1 No. 1 (2014) 5767. [PDF] 81. Alireza Abdollahi and S. M. Ghoraishi, pGroups for which each outer pautomorphism centralizes only p elements, Glasnik Matematicki Vol. 49(69) (2014) 119 122 [PDF] 80. Alireza Abdollahi and Shahrooz Janbaz, Connected graphs cospectral with a Friendship graph, Trans. Comb., 3 No. 2 (2014) 1720. [PDF] 79. Alireza Abdollahi and Mohammad Reza Oboudi, Cospectrality of graphs, Linear Algebra and its Applications, 451 (2014) 169181. [PDF] 78. Alireza Abdollahi, S. M. Ghoraishi, Y. Guerboussa, M. Reguiat and B. Wilkens, Noninner automorphisms of order p for finite pgroups of coclass 2, Journal of Group Theory, 17 (2014) 267272. [PDF] 77. Alireza Abdollahi and S. M. Ghoraishi, On noninner 2automorphisms of finite 2groups, Bulletin of the Australian Mathematical Society, 90 No. 2 (2014) 227231. [PDF] 76. Alireza Abdollahi and M. Jazaeri, Groups all of whose undirected Cayley graphs are integral, European Journal of Combinatorics 38 (2014) 102109. [PDF] 75. Alireza Abdollahi, Groups with maximal irredundant covers and minimal blocking sets, Ars Combinatoria 113 (2014) 337339.[PDF] 74. Alireza Abdollahi and Hamid Shahverdi, Noncommuting graphs of nilpotent groups, Communications in Algebra 49 No. 9 (2014) 39443949. [PDF] Published in 2013 73. Alireza Abdollahi, Shahrooz Janbaz and Mohammad Reza Oboudi, Graphs cospectral with a friendship graph or its complement, Trans. Comb., 2 No. 4 (2013) 3752. [PDF] 72. Alireza Abdollahi and S. M. Ghoraishi, Noninner automorphisms of finite pgroups leaving the center elementwise fixed, Int. J. Group Theory, 2 no. 4 (2013) 1720. [PDF] 71. Alireza Abdollahi and S. M. Ghoraishi and Bettina Wilkens, Finite pgroups of class 3 have noninner automorphisms of order p, Contributions to Algebra and Geometry, 54 No. 1 (2013) 363381. [PDF] 70. Alireza Abdollahi and M. Jazaeri, On groups admitting no integral Cayley graphs besides complete multipartite graphs, Appl. Anal. Discrete Math. 7 (2013), 119128. [PDF] 69. Alireza Abdollahi, S. Akbari, H. Dorbidi and H. Shahverdi, Commutativity pattern of finite nonabelian pgroups determine their orders, Communications in Algebra, 41 No. 2 (2013) 451461. [PDF] 68. Alireza Abdollahi and A. Loghman, On onefactorizations of replacement products, Filomat, 27: 1 (2013) 5763. [PDF] Published in 2012 67. Alireza Abdollahi, Determinants of adjacency matrices of graphs, Trans. Comb. 1 No. 4 (2012) 916. [PDF] 66. Alireza Abdollahi and H. Shahverdi, Characterization of the alternating group by its noncommuting graph, Journal of Algebra, 357 (2012) 203207. [PDF] 64. A. Tavakoli, Alireza Abdollahi, H.E. Bell, Rings with a setwise polynomiallike condition, Bulletin of the
Iranian Mathematical Society 38 No. 2 (2012) 305311. [PDF] Published or Accepted in 2011
63. Alireza Abdollahi , R. Brandl and A. Tortora, Groups generated by a finite Engel set, Journal of Algebra 347 (2011) 5359. [PDF]
64. Alireza Abdollahi and Francesco
G. Russo, On a problem of P. Hall for Engel words, Arch. Math. (Basel) 97
(2011) 407412.
[PDF]
62. Alireza Abdollahi, Cohomologically
trivial modules over finite groups of prime power order, Journal of
Algebra 342 (2011) 154160.
[PDF]
61. Alireza
Abdollahi and
E. Vatandoost, Integral quartic Cayley graphs
of abelian groups, The Electronic Journal of
Combinatorics 18 (2011), #P89.[PDF] 60. Alireza Abdollahi, Engel elements in groups, London Mathematical Society Lecture Note Series: 387, Groups St Andrews 2009 in
Bath , Volume 1, Cambridge University Press,
2011, pp. 94117.
[PDF]
Published or Accepted in 2010 59. Alireza
Abdollahi, A.
Faghihi, S.A. Linton and E.A. O'Brien, Finite 3groups of class 3 whose elements commute with their
automorphic images, Arch. Math. (Basel) 95 No.1 (2010) 17.
[PDF] 58. Alireza
Abdollahi and
H. Khosravi, Right 4Engel elements of a group, Journal
of Algebra and Its Applications 9 (2010) 763769.
[PDF] 57. Alireza
Abdollahi,
Powerful
pgroups have noninner automorphisms of order p and some cohomology, Journal of Algebra 323 (2010) 779789.
[PDF] 56. Alireza Abdollahi and H. Khosravi, On the right and left 4Engel elements, Communications in Algebra 38 No. 3 (2010) 933943. [PDF] 55. Alireza
Abdollahi, A.
Azad, A. Mohammadi Hassanabadi and M. Zarrin, On the clique number of
noncommuting graphs of certain groups, Algebra Colloquium 17 No. 4 (2010)
611620.
[PDF] 54. Alireza
Abdollahi and
M. Zarrin, Nonnilpotent graph of a group, Communications in Algebra , 38 No. 12 (2010) 43904403. [PDF] Published or Accepted in 2009 53. Alireza
Abdollahi and
E. Vatandoost, Which Cayley graphs are
integral?,
The Electronic Journal of Combinatorics 16 (2009), #R122. [PDF] 52. Alireza Abdollahi and A. Mohammadi Hassanabadi, Noncyclic
graph associated with a group, Journal of Algebra and Its Applications, 8 No.
2 (2009) 243257. [PDF] 51. Alireza
Abdollahi and
A. Tavakoli, A note on centrality
in infinite groups, Southeast Asian
Bulletin of Mathematics, 33 (2009) 207208. [PDF] 50. Alireza
Abdollahi, H.R.
Maimani and R. Torabi, On the automorphism group of a possible symmetric
(81,16,3) design, Utilitas Mathematica, 78 (2009) 243250. [PDF]
49. Alireza Abdollahi, A. Rejali and
A. Yousofzadeh, Configuration of nilpotent groups and isomorphism, Journal of Algebra and Its Applications 8,
No. 3 (2009) 339350. [PDF] 48. Alireza Abdollahi, Characterization of SL(2,q) by
its noncommuting graph, Beitrage zur Algebra und Geometrie, 50, No. 2, (2009) 443448.[PDF] Papers: Published or Accepted in 2008 47. Alireza
Abdollahi, A.
Faghihi and A. Mohammadi Hassanabadi, 3Generator groups whose elements
commute with their endomorphic images are abelian , Communications in
Algebra, 36 No. 10 (2008) 37833791. [PDF] 46. Alireza
Abdollahi, A.
Faghihi and A. Mohammadi Hassanabadi, Minimal number of generators and minimum order of a nonAbelian group
whose elements commute with their endomorphic images, Communications in Algebra, 36 No. 5
(2008) 19761987. [PDF] 45. Alireza
Abdollahi,
M.J. Ataei and A. Mohammadi Hassanabadi, Minimal blocking sets in PG(n,2) and
covering groups by subgroups, Communications in Algebra, 36 No. 2
(2008) 365380. [PDF] 44. Alireza Abdollahi, Commuting graphs of full matrix rings over finite
fields, Linear Algebra and its Applications, 428 (2008)
29472954. [PDF] 43. Alireza
Abdollahi, 1factorizations of Cayley
graphs, Ars Combinatoria, 86 (2008) 129131. [PDF] 42. Alireza
Abdollahi and H. R. Maimani, A new technique for
constructing pairwise balanced designs from groups, Ars Combinatoria,
86 (2008) 409413.[PDF] 41. Alireza
Abdollahi and
S.M. Jafarian Amiri, Minimal coverings of
completely reducible groups, Publicationes Mathematicae Debrecen, 72/12
(2008), 167172 . [PDF] Published in 2007 40. Alireza Abdollahi, Engel graph associated with a group, Journal of
Algebra, 318 (2007) 680691. [PDF] 39. Alireza
Abdollahi, H.E. Bell and A.A. Klein,
On commutativity and centrality in infinite rings, Communications in Algebra,
35 (2007) 13231332. [PDF] 38. Alireza
Abdollahi,
A combinatorial property of Burnside varieties of groups,
Ischia group theory 2006, 16,
World Sci. Publ., Hackensack, NJ,
2007. [PDF] 37. Alireza
Abdollahi
and S.M. Jafarian Amiri, On groups with an irredundant 7cover, Journal of
Pure and Applied Algebra, 209 (2007) 291300. [PDF] 36. Alireza
Abdollahi, S.M.
Jafarian Amiri and A. Mohammadi Hassanabadi, Groups with specific number of centralizers,
Houston Journal of Mathematics, 33, No. 1 (2007), 4357 . [PDF] 35. Alireza
Abdollahi,
Finite pgroups of class 2 have noninner automorphisms of order p,
Journal of Algebra, 312 (2007) 876879. [PDF] 34. Alireza
Abdollahi and A. Mohammadi Hassanabadi,
Noncyclic graph of a group, Communications in Algebra, 35 (2007) 20572081. [PDF] 33. Alireza
Abdollahi, F.
Ashraf and S.M. Shaker, The symmetric group of degree six can be covered by
13 and no fewer proper subgroups, Bulletin of the Malaysian
Mathematical Sciences Society, Second Series, 30 No. 1 (2007) 5758. [PDF] Published in 2006
Published
in 2005 28. Alireza Abdollahi, Groupes satisfaisant une condition d'Engel, Journal of
Algbera, 283, No. 2 (2005) 431446. [PDF] Published in 2004 22. Alireza Abdollahi, Powers of a product of commutators as products of
squares, International Journal of Mathematics and Mathematical
Sciences, 2004:7 (2004) 373375. [PDF] Published in 2003 17. Alireza Abdollahi, Certain locally nilpotent varieties of groups, Bull.
Austral. Math. Soc. 67 (2003) 115119. [PDF] Published in 2002 16. Alireza Abdollahi, A combinatorial problem in infinite groups, Bull. Malays.
Math. Sci. Soc. (2) 25 (2002) 101114. [PDF] 9 (2002) 205215. [PDF] 130 (2002) 28272836. [PDF] Published in 2001 13. Alireza Abdollahi, Some Engel conditions on finite subsets of certain
groups, Houston J. Math. 73 no. 3 (2001) 511522. [PDF] Published in 2000 9. Alireza Abdollahi, Infinite groups with an Engel condition on infinite
subsets, Bull. Iranian Math. Soc. 26 no. 1 (2000) 7378. [PDF] Published in 1999 5. Alireza Abdollahi, A characterization of infinite 3abelian groups, Arch.
Math. ( Published in 1998 1. Alireza Abdollahi and Aliakbar Mohammadi Hassanabadi, A characterization
of infinite abelian groups, Bull. Iranian Math. Soc. 24 no. 2 (1998) 4148. [PDF] 

Presentation in Conferences: 1998 1. Alireza Abdollahi, Integral of a group, 29th Iranian International
Conference on Mathematics, Amirkabir University of Technology (Tehran
Polytechnic), Iran, March 2831, 1998. 1999 3. Alireza Abdollahi, An Engel condition on certain residually finite groups,
30th Iranian International Conference on Mathematics, 2000 7. Alireza Abdollahi and Bijan Taeri, A combinatorial condition on infinite
rings, Proceedings of the 31st Iranian Mathematics Conference, University of
Tehran, Iran, August 2730, 2000, 2327. 2002 9. Alireza Abdollahi, 4Engel groups and certain locally nilpotent varieties
of groups, (Invited Speaker) 14th Iranian Algebra Seminar of Iran, Azzahra
University, TehranIran, July 1618, 2002. 2004 13. Alireza Abdollahi, Infinite Ramsey's theorem and some of its applications
in group theory, One hour talk delivered at Institute for Studies
in Theoretical Physics and Mathematics (IPM),
Gaveh zang Zanjan, Iran. (This
is an improved version of the Item 3 in 2002, see below.) [PDF] 2005 16. Alireza Abdollahi, Rings in which a given polynomial has many solutions,
35th Annual Iranian Mathematics Conference, Shahid Chamran University of
Ahvaz, January 2629, 2005. [PDF] 

Supervised M.Sc. Students and
Title of Their Thesis: 1) A. Mosaiebi, (2001) A combinatorial condition on infinite groups, (Advisor) 2) M. Behdari, (2002) Engel conditions on groups,
(Advisor) 3) M. J. Abbasi, (2002) Some combinatorial Engel conditions on groups, (Supervisor) 4) M. Zarrin, (2002) Subnormal conditions on nontorsion groups, (Supervisor) 5) M. Elyasi, (2002) Some combinatorial conditions on groups and applications of
Ramsey's theorem, (Supervisor) 6) J. Sarhadi,(2002) Study of subgroups of finite pgroups, (Advisor) 7) S. Afshari, (2002) Study of rewritable groups,
(Advisor) 8) P. Rashno, (2002) Characterization of groups in which the product of every
four elements is permutable, (Advisor) 9) H. Khosravi, (2003) Engel groups and semigroup laws, (Supervisor) 10) M. Araskhan, (2003) Some bounds for locally nilpotent groups in certain variety
of groups, (Supervisor) 11) R. Mohamdpour Nashli, (2003)
Semicomplete groups, (Advisor) 12) A. Rahmatimanesh, (2003)
Central automorphisms of groups, (Advisor) 13) M. Aminian, (2004) Covering algebras,
(Advisor) 14) B. Behzadi Share Babak, (2005)
Sequenceablity of groups, (Supervisor) 15) R. Niazi, (2005) 3rewritable groups,
(Advisor) 16) F. Ashraf, (2006)
Groups which union of finitely many subgroups,
(Supervisor) 17) S. M. Shaker Khovidaki,
(2007) Study of coverings of symmetric
groups of small degrees, (Supervisor) 18) A. Zeidi, (2008) 9centralizers groups,
(Supervisor) 19) E. Nasibi, (2009) Groups with given central automorphism of groups, (Supervisor) 

Click HERE to see
supervised Ph.D. Students and Title of their Thesis Iranian Group
Theorists (who I know): 1) Ahmad Erfanian 2) Mohammad Reza Darafsheh 4) Ali Akbar Mohammadi Hassanabadi, 5) Mohammad Reza Rajbzadeh Moghaddam 6) H. Doostie 7) Ali Iranmanesh 8) Ali Reza Ashrafi 9) A. Rahnamai Barghi 10) Behrooz Khosravi 11) Mohammad Reza Pournaki 12) Bijan Taeri 13) Ali Reza Moghaddamfar 14) Hamid Mousavi 15) Saeed Kayvanfar 16) Behrooz Mashayekhy 17) Ali Reza Salemkar 18) Houshang Behravesh 19) M. Akhavan Malayeri 20) Z. Mostaghim 21) M. R. Moghaddam 22) A. Azad 23) M. Zarrin 24) A. Faghihi Afarni 25) S. M. Majid Jafarian Amiri 26) M. J. Ataei 