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# A Characterization of $PSU_{11}(q)$

Published:2004-12-01
Printed: Dec 2004
• A. Iranmanesh
• B. Khosravi
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## Abstract

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 $PSU_{11}(q)$ 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 $PSU_{11}(q)$ are obtained.
 Keywords: Prime graph, order component, finite group, simple group
 MSC Classifications: 20D08 - Simple groups: sporadic groups 20D05 - Finite simple groups and their classification 20D60 - Arithmetic and combinatorial problems

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