A characterisation of simple groupsPSL(5,q)

Author:

Iranmanesh A.,Alavi S. H.

Abstract

Order components of a finite group are introduced in [4]. We prove that, for everyq,PSL(5,q) can be uniquely determined by its order componets. A main consequence of our result is the validity of Thompson's conjecture for the groups under consideration.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference18 articles.

1. [10] Iranmanesh A. , Alavi S.H. and Khosravi B. , ‘A Characterization of PSL (3,q)Where q is and odd prime power’, J. Pure Appl Algebra (to appear).

2. A new characterization of PSL2(q);Chen;Southeast Asian Bull. Math.,1998

3. A new characterization of sporadic simple groups;Chen;Algebra Colloq.,1996

4. [2] Chen G.Y. , ‘A new characterization of simple group of Lie type 2G2(q)’,Proc. of 2nd Ann. Meeting of Youth of Chin. Sci. and Tech. Assoc. Press of Xinan Jiaotong Univ.(1995), 221–224.

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