“Ali Iranmanesh”
Home Page: www.modares.ac.ir/sci/iranmana/index.htm
Email:
IPM Positions 

Non Resident Researcher (nonresident), School of Mathematics
(2005  2006 ) 

Past IPM Positions 

Associate Researcher (nonresident), 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
p_{i}, i=1,2,..., t(G) be the connected
components of G(G). For G
even, p_{1} will be the connected component
containing 2. Then G can
be expressed as a product of some positive integers m_{i}, i=1,2,...,t(G)
with p(m_{i})=p_{i}.
The integers m_{i}'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 m_{1} is the even order component and m_{2},...,m_{t(G)}
will be the odd order components of G. The order components of nonabelian
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 : G_{2}(q)
where q ? 0 (mod 3), Sporadic simple groups, SuzukiRee
groups, E_{8}(q), PSL(n,q) for n=2,3,5, A_{p} where p and p2
are primes, and F_{4}(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: (NH_{3})_{4} Match 56 (2006), 317330 [abstract] 
2.  A. Iranmanesh (Joint with S. Memarzadeh) A study of the restricted nonrigid group of tetra metyl tangstan hydrid Asian. J. Chem. (Accepted) [abstract] 
3.  A. Iranmanesh (Joint with Gh. R. Hasanpur) Fullnonrigid 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), 449461 [abstract] 
5.  M. Dabirian and A. Iranmanesh The full nonrigid group theory for TrimethylamineBH_{3} Addend Match 54 (2005), 7588 [abstract] 
6.  A. Iranmanesh (Joint with B. Khosravi) A characterization of PSU(17, q) J. Appl. Algebra Discrete Struct. 3 (2005), 169188 [abstract] 
7.  A. Iranmanesh (Joint with B. Khosravi) A characterization of C_{4}(q) where q = 2^{n} Chinese J. Contemp. Math. 26 (2005), 105110 [abstract] 
8.  A. Iranmanesh (Joint with Behr. Khosravi) A characterization of PSU_{11}(q) Canad. Math. Bull. 47 (2004), 530539 [abstract] 
9.  A. Iranmanesh A characterization of PSU(19,q) Int. J. Pure Appl. Math. 15 (2004), 499511 [abstract] 
10.  A. Iranmanesh (Joint with Behr. Khosravi) A characterization of PSU_{5}(q) Int. Math. J. 3 (2003), 129141 [abstract] 
11.  A. Iranmanesh (Joint with Behr. Khosravi and S. H. Alavi) A characterization of PSU_{3}(q) for q > 5 Southeast Asian Bull. Math. 26 (2002), 3344 [abstract] 
12.  A. Iranmanesh and B. Khosravi A characterization of C_{2}(q) where q > 5 Comment. Math. Univ. Carolin. 43 (2002), 921 [abstract] 
13.  A. Iranmanesh and S.H. Alavi A characterisation of simple groups PSL(5,q) Bull. Aust. Math. Soc. 65 (2002), 211222 [abstract] 
14.  A. Iranmanesh, S.H. Alavi and B. Khosravi A characterization of PSL (3,q) for q=2^{m} Acta Math. Sci. Ser. B Engl. Ed. 18 (2002), 463472 [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), 243254 [abstract] 
16.  A. Iranmanesh and S. H. Alavi A new characterization of A_{p} where p and p−2 are primes Korean J. Comput. Appl. Math. 8 (2001), 665673 [abstract] 
17.  A. Iranmanesh and B. Khosravi A characterization of F_{4}(q) where q=2^{n}(n > 1) Far East J. Math. Sci. 2 (2000), 853859 [abstract] 
18.  A. Iranmanesh General types of conjugacy classes of GL_{n}(q) Far East J. Math. Sci. 2 (2000), 93103 [abstract] 
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