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This article is cited in 11 scientific papers (total in 11 papers)
Carter subgroups of finite groups
E. P. Vdovin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
It is proven that the Carter subgroups of a finite group are conjugate. A complete classification of the Carter subgroups in finite almost simple groups is also obtained.
Key words:
Carter subgroup, finite simple group, group of Lie type, linear algebraic group, semilinear group of Lie type, semilinear algebraic group, conjugated powers of an element.
Received: 14.01.2008
Citation:
E. P. Vdovin, “Carter subgroups of finite groups”, Mat. Tr., 11:2 (2008), 20–106; Siberian Adv. Math., 19:1 (2009), 24–74
Linking options:
https://www.mathnet.ru/eng/mt125 https://www.mathnet.ru/eng/mt/v11/i2/p20
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Abstract page: | 486 | Full-text PDF : | 182 | References: | 75 | First page: | 8 |
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