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Alireza
Abdollahi
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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 2000-June 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 |
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Employment: Assistant
Professor, Department of Mathematics,
University
of Isfahan, 2001-2005. Associate
Professor, Department of Mathematics,
University
of Isfahan, 2005-2009. Professor, Department of Mathematics,
University
of Isfahan, 2009-. |
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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 |
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Research Interests: 1. Combinatorial conditions on finite and infinite subsets
of groups and rings 2. Engel elements in groups 3. Non-inner automorphisms of order p in finite p-groups 4. Integral Cayley graphs and one-factorizations in Cayley
graphs 5. Non-Commuting graph, non-nilpotent graph, Engel graph,
non-cyclic graph of groups Mathematics Subject
Classifications (2000): 20; 16; 05; 20F45; 20D60; 20D45. |
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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 China-Beijing. 8. Scholarship from the abdus salam international
centre for theoretical physics (ICTP) in Italy-Trieste
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 2003-2008. 10. Distinguished researcher in basic sciences of
the University of Isfahan (2005-2006). 11. Distinguished lecturer of 2006-2007 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). |
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Honorary Activities: 1. Reviewer of Zentralblatt MATH. 2. Reviewer of the American
Mathematical Reviews. 3. 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 Collaboration in Conference organizing: 1) Member
of the Scientific and Administrative Committees of The first Two-Days
Group Theory Seminar in IRAN. 2)
Member
of the Scientific Committee of the 20th 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. |
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Papers: Published or Accepted in 2010 61. Alireza
Abdollahi, A.
Faghihi, S.A. Linton and E.A. O'Brien, Finite 3-groups of class 3 whose elements commute with their
automorphic images, to appear in Arch. Math. (Basel). [PDF] 60. Alireza
Abdollahi,
Engel elements in groups, to appear in Proceedings of the Groups St. Andrews
2009. [PDF] 59. Alireza
Abdollahi and
H. Khosravi, Right 4-Engel elements of a group, to appear in Journal of Algebra and its Applications. [PDF] 58. Alireza
Abdollahi,
Powerful
p-groups have noninner automorphisms of order p and some cohomology, Journal of Algebra 323 (2010) 779-789. [PDF] 57. Alireza Abdollahi and H. Khosravi, On the right and left 4-Engel elements, Communications in Algebra 38 No. 3 (2010) 933-943. [PDF] 56. Alireza
Abdollahi, A.
Azad, A. Mohammadi Hassanabadi and M. Zarrin, On the clique number of
non-commuting graphs of certain groups, Algebra Colloquium 17 No. 4 (2010)
611-620. [PDF] Published or Accepted in 2009 55. Alireza
Abdollahi and
E. Vatandoost, Which Cayley graphs are
integral?,
The Electronic Journal of Combinatorics 16 (2009), #R122. [PDF] 54. Alireza Abdollahi
and M.
Zarrin, Non-nilpotent graph of a group, to appear in Communications in
Algebra. [PDF] 53. Alireza Abdollahi and A. Mohammadi Hassanabadi, Non-cyclic
graph associated with a group, Journal of Algebra and its Applications, 8 No.
2 (2009) 243-257. [PDF] 52. Alireza
Abdollahi and
A. Tavakoli, A note on centrality
in infinite groups, Southeast Asian Bulletin
of Mathematics, 33 (2009) 207-208. [PDF] 51. Alireza
Abdollahi, H.R.
Maimani and R. Torabi, On the automorphism group of a possible symmetric
(81,16,3) design, Utilitas Mathematica, 78 (2009) 243-250. [PDF] 50. Alireza Abdollahi, A. Rejali and A. Yousofzadeh,
Configuration of nilpotent groups and isomorphism, Journal of Algebra and Its Applications 8,
No. 3 (2009) 339-350. [PDF] 49. Alireza Abdollahi, Characterization of SL(2,q)
by its non-commuting graph, Beitrage zur Algebra und Geometrie, 50, No. 2, (2009) 443-448.[PDF] Papers: Published or Accepted in 2008 48. Alireza
Abdollahi, Groups
with maximal irredundant covers and minimal blocking sets, to appear in
Ars Combinatoria.[PDF] 47. Alireza
Abdollahi, A.
Faghihi and A. Mohammadi Hassanabadi, 3-Generator groups whose elements
commute with 46. Alireza
Abdollahi, A.
Faghihi and A. Mohammadi Hassanabadi, Minimal number of generators and minimum order of a non-Abelian group
whose elements commute with their endomorphic images, Communications in Algebra, 36 No. 5
(2008) 1976-1987. [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) 365-380. [PDF] 44.
Alireza Abdollahi, Commuting graphs of full matrix rings over finite
fields, Linear Algebra and its Applications, 428 (2008)
2947-2954. [PDF] 43. Alireza
Abdollahi, 1-factorizations of Cayley
graphs, Ars Combinatoria, 86 (2008) 129-131. [PDF] 42. Alireza
Abdollahi and H. R. Maimani, A new technique for
constructing pairwise balanced designs from groups, Ars Combinatoria,
86 (2008) 409-413.[PDF] 41. Alireza
Abdollahi and
S.M. Jafarian Amiri, Minimal coverings of
completely reducible groups, Publicationes Mathematicae Debrecen, 72/1-2
(2008), 167-172 . [PDF] Published in 2007 40.
Alireza Abdollahi, Engel graph associated with a group, Journal of
Algebra, 318 (2007) 680-691. [PDF] 39. Alireza
Abdollahi, H.E. Bell and A.A. Klein,
On commutativity and centrality in infinite rings, Communications in Algebra,
35 (2007) 1323-1332. [PDF] 38. Alireza
Abdollahi,
A combinatorial property of Burnside varieties of groups,
Ischia group theory 2006, 1--6,
World Sci. Publ., Hackensack, NJ,
2007. [PDF] 37. Alireza
Abdollahi
and S.M. Jafarian Amiri, On groups with an irredundant 7-cover, Journal of
Pure and Applied Algebra, 209 (2007) 291-300. [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), 43-57 . [PDF] 35. Alireza
Abdollahi,
Finite p-groups of class 2 have noninner automorphisms of order p,
Journal of Algebra, 312 (2007) 876-879. [PDF] 34. Alireza
Abdollahi and A. Mohammadi Hassanabadi,
Non-cyclic graph of a group, Communications in Algebra, 35 (2007) 2057-2081. [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) 57-58. [PDF] Published in 2006
Published
in 2005 28. Alireza Abdollahi, Groupes satisfaisant une condition d'Engel, Journal of
Algbera, 283, No. 2 (2005) 431-446. [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) 373-375. [PDF] Published in 2003 17. Alireza Abdollahi, Certain locally nilpotent varieties of groups, Bull.
Austral. Math. Soc. 67 (2003) 115-119. [PDF] Published in 2002 16. Alireza Abdollahi, A combinatorial problem in infinite groups, Bull.
Malays. Math. Sci. Soc. (2) 25 (2002) 101-114. [PDF] 9 (2002) 205-215. [PDF] 130 (2002) 2827-2836. [PDF] Published in 2001 13. Alireza Abdollahi, Some Engel conditions on finite subsets of certain
groups, Houston J. Math. 73 no. 3 (2001) 511-522. [PDF] Published in 2000 9. Alireza Abdollahi, Infinite groups with an Engel condition on infinite
subsets, Bull. Iranian Math. Soc. 26 no. 1 (2000) 73-78. [PDF] Published in 1999 5. Alireza Abdollahi, A characterization of infinite 3-abelian 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) 41-48. [PDF] |
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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 28-31, 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 27-30, 2000, 23-27. 2002 9. Alireza Abdollahi, 4-Engel groups and certain locally nilpotent varieties
of groups, (Invited Speaker) 14th Iranian Algebra Seminar of Iran, Azzahra
University, Tehran-Iran, July 16-18, 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 26-29, 2005. [PDF] |
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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 non-torsion 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 p-groups, (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) 3-rewritable 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) 9-centralizers groups,
(Supervisor) 19) E. Nasibi, (2009) Groups with given central automorphism of groups, (Supervisor) |
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Supervised Ph.D. Students and
Title of Their Thesis: 1) S. M. Jafarian Amiri,
(2005) Groups covered
by finitely many subgroups, (Supervisor) 2) A. Faghihi Afarani,
(2007) Groups in which each element commutes
with its endomorphic images, (Supervisor) 3) M. J. Ataei, (2007) Groups with a maximal irredundant covering, (Supervisor) 4) V. Shahsanai, (2008) Presentations of Wyle groups and root systems, (Advisor) 5) A. Yousofzadeh, (2009) Characterization of paradoxical decompositions with
configurations, (Advisor) 6) M. Shabani Attar, (2008) Study of certain automorphisms of groups, (Supervisor) 7) M. Zarrin, (2009) Study of nilpotent graph associated with a group, (Supervisor) 8) A. Azad, (2009) Non-commuting graph associated with a group, (Supervisor) 9) A. Framarzi Sales, (in
progress) Rewritability in groups and some
combinatorial conditions on groups,
(Supervisor) 10) H. Khosravi, (in progress) Right and left Engel elements of groups, (Supervisor) 11) E. Vatandoost, (in
progress) Integral Cayley graphs, (Supervisor) 12) A. Loghman, (in progress) Graph
products of Cayley graphs, (Supervisor) 13) S. A. Hosseini, (in
progress) Cohomologically trivial modules over
finite p-groups, (Supervisor) 14) M. Mirafzal, (in
progress) Graphs with minimum vertices with a given automorphism
group, (Supervisor) 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 |
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