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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 506–516
(Mi smj2102)
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This article is cited in 15 scientific papers (total in 15 papers)
A conjugacy criterion for Hall subgroups in finite groups
E. P. Vdovinab, D. O. Revinab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Abstract:
A finite group $G$ is said to satisfy $C_\pi$ for a set of primes $\pi$, if $G$ possesses exactly one class of conjugate $\pi$-Hall subgroups. We obtain a criterion for a finite group $G$ to satisfy $C_\pi$ in terms of a normal series of the group.
Keywords:
Hall subgroup, conjugacy of Hall subgroups, $C_\pi$-property.
Received: 24.01.2008
Citation:
E. P. Vdovin, D. O. Revin, “A conjugacy criterion for Hall subgroups in finite groups”, Sibirsk. Mat. Zh., 51:3 (2010), 506–516; Siberian Math. J., 51:3 (2010), 402–409
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https://www.mathnet.ru/eng/smj2102 https://www.mathnet.ru/eng/smj/v51/i3/p506
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Abstract page: | 573 | Full-text PDF : | 127 | References: | 69 | First page: | 7 |
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