IPM Positions

Non Resident Researcher (non-resident), School of Mathematics (2005 - 2006 )

Past IPM Positions

Associate Researcher (non-resident), School of Mathematics (2000 - 2005)

Non IPM Affiliations

Associate Professor of Tarbiat Modares University

Research Activities

If n is an integer, then p(n) is the set of prime divisors of n and if G is a finite group p(G) is defined to be p(|G|). The prime graph G(G) of a group G is a graph whose vertex set is p(G), and two distinct primes p and q are linked by an edge if and only if G contains an element of order pq. Let pi, i=1,2,..., t(G) be the connected components of G(G). For |G| even, p1 will be the connected component containing 2. Then |G| can be expressed as a product of some positive integers mi, i=1,2,...,t(G) with p(mi)=pi. The integers mi's are called the order components of G. The set of order components of G will be denoted by OC(G). If the order of G is even, we will assume that m1 is the even order component and m2,...,mt(G) will be the odd order components of G. The order components of non-abelian simple groups having at least three prime graph components are obtained by G. Y. Chen. The following groups are uniquely determined by their order components : G2(q) where q ? 0 (mod 3), Sporadic simple groups, Suzuki-Ree groups, E8(q), PSL(n,q) for n=2,3,5, Ap where p and p-2 are primes, and F4(q). In this research program , we prove that groups PSU(n,q) for some n and q are also uniquely determined by their order components. AMS Subject Classification: 20D05,20D60 Keywords : Prime graph, order component, finite group, simple group .

Present Research Project at IPM

A Characterization of PSU(n,q) for some n and q

Related Papers

1.	A. Iranmanesh (Joint with M. Dabirian) Nonrigid group theory of ammonia tetramer: (NH3)4 Match 56 (2006), 317-330  [abstract]

2.	A. Iranmanesh (Joint with S. Memarzadeh) A study of the restricted non-rigid group of tetra metyl tangstan hydrid Asian. J. Chem. (Accepted) [abstract]

3.	A. Iranmanesh (Joint with Gh. R. Hasanpur) Full-non-rigid group theory for Hepta methyl tungsten Int. J. Pure Appl. Math. (Accepted) [abstract]

4.	A. Iranmanesh A characterization of PSU(23, q) Int. J. Appl. Math. 22 (2005), 449-461  [abstract]

5.	M. Dabirian and A. Iranmanesh The full non-rigid group theory for Trimethylamine-BH3 Addend Match 54 (2005), 75-88  [abstract]

6.	A. Iranmanesh (Joint with B. Khosravi) A characterization of PSU(17, q) J. Appl. Algebra Discrete Struct. 3 (2005), 169-188  [abstract]

7.	A. Iranmanesh (Joint with B. Khosravi) A characterization of C4(q) where q = 2n Chinese J. Contemp. Math. 26 (2005), 105-110  [abstract]

8.	A. Iranmanesh (Joint with Behr. Khosravi) A characterization of PSU11(q) Canad. Math. Bull. 47 (2004), 530-539  [abstract]

9.	A. Iranmanesh A characterization of PSU(19,q) Int. J. Pure Appl. Math. 15 (2004), 499-511  [abstract]

10.	A. Iranmanesh (Joint with Behr. Khosravi) A characterization of PSU5(q) Int. Math. J. 3 (2003), 129-141  [abstract]

11.	A. Iranmanesh (Joint with Behr. Khosravi and S. H. Alavi) A characterization of PSU3(q) for q > 5 Southeast Asian Bull. Math. 26 (2002), 33-44  [abstract]

12.	A. Iranmanesh and B. Khosravi A characterization of C2(q) where q > 5 Comment. Math. Univ. Carolin. 43 (2002), 9-21  [abstract]

13.	A. Iranmanesh and S.H. Alavi A characterisation of simple groups PSL(5,q) Bull. Aust. Math. Soc. 65 (2002), 211-222  [abstract]

14.	A. Iranmanesh, S.H. Alavi and B. Khosravi A characterization of PSL (3,q) for q=2m Acta Math. Sci. Ser. B Engl. Ed. 18 (2002), 463-472  [abstract]

15.	B. Khosravi, A. Iranmanesh and S.H. Alavi A characterization of PSL(3,q) where q is an odd prime power J. Pure Appl. Algebra 170 (2002), 243-254  [abstract]

16.	A. Iranmanesh and S. H. Alavi A new characterization of Ap where p and p−2 are primes Korean J. Comput. Appl. Math. 8 (2001), 665-673  [abstract]

17.	A. Iranmanesh and B. Khosravi A characterization of F4(q) where q=2n(n > 1) Far East J. Math. Sci. 2 (2000), 853-859  [abstract]

18.	A. Iranmanesh General types of conjugacy classes of GLn(q) Far East J. Math. Sci. 2 (2000), 93-103  [abstract]