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A Characterization of $PS{{U}_{11}}(q)$
Published online by Cambridge University Press: 20 November 2018
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 $PS{{U}_{11}}(q)$ 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.
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- Research Article
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- Copyright © Canadian Mathematical Society 2004
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