A Characterization of $PS{{U}_{11}}(q)$
Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 530-539
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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.
Mots-clés :
20D08, 20D05, 20D60, Prime graph, order component, finite group, simple group
Iranmanesh, A.; Khosravi, B. A Characterization of $PS{{U}_{11}}(q)$. Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 530-539. doi: 10.4153/CMB-2004-052-8
@article{10_4153_CMB_2004_052_8,
author = {Iranmanesh, A. and Khosravi, B.},
title = {A {Characterization} of $PS{{U}_{11}}(q)$},
journal = {Canadian mathematical bulletin},
pages = {530--539},
year = {2004},
volume = {47},
number = {4},
doi = {10.4153/CMB-2004-052-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-052-8/}
}
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