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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 2, Pages 249–267
(Mi smj1292)
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This article is cited in 13 scientific papers (total in 13 papers)
On composition factors of finite groups having the same set of element orders as the group $U_3(q)$
M. R. Aleeva Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
We study the composition factors of a finite nonsolvable group having the same set of order elements as the simple unitary group $U_3(q)$ for an odd $q$. We prove in particular that for $q>5$ the (only) nonabelian composition factor of such a group is isomorphic to $U_3(q)$.
Received: 12.03.2001
Citation:
M. R. Aleeva, “On composition factors of finite groups having the same set of element orders as the group $U_3(q)$”, Sibirsk. Mat. Zh., 43:2 (2002), 249–267; Siberian Math. J., 43:2 (2002), 195–211
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https://www.mathnet.ru/eng/smj1292 https://www.mathnet.ru/eng/smj/v43/i2/p249
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Abstract page: | 358 | Full-text PDF : | 96 |
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