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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 102–113
(Mi timm755)
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This article is cited in 1 scientific paper (total in 1 paper)
Recognizability by spectrum of simple groups $C_p(2)$
M. R. Zinov'eva Ural Federal University
Abstract:
It is proved that, if $G$ is a finite group that has the same set of element orders as the simple group $C_p(2)$, where $p$ is a prime and $p>3$, then $G/O_2(G)$ is isomorphic to $C_p(2)$.
Keywords:
finite simple group, prime graph, spectrum, recognition by spectrum, symplectic group.
Received: 05.04.2011
Citation:
M. R. Zinov'eva, “Recognizability by spectrum of simple groups $C_p(2)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 102–113
Linking options:
https://www.mathnet.ru/eng/timm755 https://www.mathnet.ru/eng/timm/v17/i4/p102
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Abstract page: | 338 | Full-text PDF : | 73 | References: | 55 | First page: | 3 |
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