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A characterisation of simple groups PSL (5,q)

Published online by Cambridge University Press:  17 April 2009

A. Iranmanesh  and
S. H. Alavi
A. Iranmanesh
Affiliation:
Department of Mathematics, Tarbiat Modarres University, P.O.Box 14115–137, Tehran, Iran, Institute for Studies in Therotical Physics and Mathematics, Tehran, Iran e-mail: [email protected]
S. H. Alavi
Affiliation:
Department of Mathematics, Tarbiat Modarres University, P.O.Box 14115–137, Tehran, Iran, Institute for Studies in Therotical Physics and Mathematics, Tehran, Iran e-mail: [email protected]
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Abstract

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Order components of a finite group are introduced in [4]. We prove that, for every q, 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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 211 - 222
Copyright
Copyright © Australian Mathematical Society 2002

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