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A Characterization of $PS{{U}_{11}}(q)$

Published online by Cambridge University Press:  20 November 2018

A. Iranmanesh  and
B. Khosravi
A. Iranmanesh
Affiliation:
Department of Mathematics Tarbiat Modarres University P. O. Box: 14115-137 Tehran Iran and Institute for Studies in Theoretical Physics and Mathematics Tehran Iran e-mail: iranmana@modares.ac.ir
B. Khosravi
Affiliation:
Department of Mathematics Tarbiat Modarres University P. O. Box: 14115-175 Tehran Iran
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Abstract

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Order components of a finite simple group were introduced in [4]. It was proved that some non-abelian simple groups are uniquely determined by their order components. As the main result of this paper, we show that groups $PS{{U}_{11}}(q)$ are also uniquely determined by their order components. As corollaries of this result, the validity of a conjecture of J. G. Thompson and a conjecture of W. Shi and J. Bi both on $PS{{U}_{11}}(q)$ are obtained.

Keywords

20D0820D0520D60Prime graphorder componentfinite groupsimple group
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 4 , 01 December 2004 , pp. 530 - 539
Copyright
Copyright © Canadian Mathematical Society 2004

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