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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 292–299
(Mi smj1958)
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This article is cited in 48 scientific papers (total in 48 papers)
On recognition of finite simple groups with connected prime graph
A. V. Vasil'eva, I. B. Gorshkovb a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Novosibirsk
Abstract:
The spectrum of a finite group is the set of its element orders. We prove a theorem on the structure of a finite group whose spectrum is equal to the spectrum of a finite nonabelian simple group. The theorem can be applied to solving the problem of recognizability of finite simple groups by spectrum.
Keywords:
finite group, finite simple group, spectrum of a group, prime graph of a group.
Received: 30.10.2007
Citation:
A. V. Vasil'ev, I. B. Gorshkov, “On recognition of finite simple groups with connected prime graph”, Sibirsk. Mat. Zh., 50:2 (2009), 292–299; Siberian Math. J., 50:2 (2009), 233–238
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https://www.mathnet.ru/eng/smj1958 https://www.mathnet.ru/eng/smj/v50/i2/p292
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Abstract page: | 620 | Full-text PDF : | 156 | References: | 63 | First page: | 3 |
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