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This article is cited in 9 scientific papers (total in 9 papers)
Quasirecognizability by the Set of Element Orders for Groups ${^3}D_4(q)$, for $q$ Even
O. A. Alekseeva Chelyabinsk Institute of Humanities
Abstract:
It is proved that if $G$ is a finite group with an element order set as in the simple group ${^3}D_4(q)$, where $q$ is even, then the commutant of $G/F(G)$ is isomorphic to ${^3}D_4(q)$ and the factor group $G/G'$ is a cyclic $\{2,3\}$-group.
Keywords:
finite group, simple group, set of element orders, quasirecognizability, prime graph.
Received: 25.03.2005 Revised: 08.07.2005
Citation:
O. A. Alekseeva, “Quasirecognizability by the Set of Element Orders for Groups ${^3}D_4(q)$, for $q$ Even”, Algebra Logika, 45:1 (2006), 3–19; Algebra and Logic, 45:1 (2006), 1–11
Linking options:
https://www.mathnet.ru/eng/al111 https://www.mathnet.ru/eng/al/v45/i1/p3
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Abstract page: | 427 | Full-text PDF : | 105 | References: | 85 | First page: | 1 |
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