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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 2, Pages 315–324
(Mi smj966)
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This article is cited in 15 scientific papers (total in 15 papers)
On recognition of all finite nonabelian simple groups with orders having prime divisors at most 13
A. V. Vasil'ev Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
The spectrum of a group is the set of its element orders. We say that the problem of recognition by spectrum is solved for a finite group if we know the number of pairwise nonisomorphic finite groups with the same spectrum as the group under study. In this article the problem of recognition by spectrum is completely solved for every finite nonabelian simple group with orders having prime divisors at most 13.
Keywords:
recognition by spectrum, finite simple group, group of Lie type.
Received: 14.10.2004
Citation:
A. V. Vasil'ev, “On recognition of all finite nonabelian simple groups with orders having prime divisors at most 13”, Sibirsk. Mat. Zh., 46:2 (2005), 315–324; Siberian Math. J., 46:2 (2005), 246–253
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https://www.mathnet.ru/eng/smj966 https://www.mathnet.ru/eng/smj/v46/i2/p315
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Abstract page: | 504 | Full-text PDF : | 189 | References: | 67 |
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