1 results
A Characterization of
$PS{{U}_{11}}(q)$
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- Journal:
- Canadian Mathematical Bulletin / Volume 47 / Issue 4 / 01 December 2004
- Published online by Cambridge University Press:
- 20 November 2018, pp. 530-539
- Print publication:
- 01 December 2004
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- Article
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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.
