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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 3, Pages 88–95
(Mi timm578)
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This article is cited in 1 scientific paper (total in 1 paper)
Recognizability by spectrum of simple groups $C_p(3)$
M. R. Zinov'eva Ural State Technical University
Abstract:
Let $G$ be a simple group, and let $\omega(G)$ be the set of orders of its elements. It is proved that, if $\omega(G)=\omega(C_p(3))$, where $p$ is an odd prime, then $G\cong C_p(3)$.
Keywords:
finite simple group, spectrum of a group, prime graph, recognition by spectrum, symplectic group.
Received: 19.03.2010
Citation:
M. R. Zinov'eva, “Recognizability by spectrum of simple groups $C_p(3)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 3, 2010, 88–95
Linking options:
https://www.mathnet.ru/eng/timm578 https://www.mathnet.ru/eng/timm/v16/i3/p88
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Abstract page: | 356 | Full-text PDF : | 85 | References: | 56 | First page: | 14 |
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