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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 224–235
(Mi smj19)
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This article is cited in 5 scientific papers (total in 5 papers)
$c$-Semipermutable subgroups of finite groups
B. Huab, W. Guoab a Department of Mathematics, University of Science and Technology of China, Hefei, P. R. China
b Department of Mathematics, Xuzhou Normal University, Xuzhou, P. R. China
Abstract:
A subgroup is called $c$-semipermutable in $G$ if $A$ has a minimal supplement $T$ in $G$ such that for every subgroup $T_1$ of $T$ there is an element $x\in T$ satisfying $AT_1^x=T_1^xA$. We obtain a few results about the $c$-semipermutable subgroups and use them to determine the structures of some finite groups.
Keywords:
finite group, $c$-semipermutable subgroup, maximal subgroups of Sylow subgroups, supersoluble group, $p$-nilpotent group.
Received: 24.08.2005
Citation:
B. Hu, W. Guo, “$c$-Semipermutable subgroups of finite groups”, Sibirsk. Mat. Zh., 48:1 (2007), 224–235; Siberian Math. J., 48:1 (2007), 180–188
Linking options:
https://www.mathnet.ru/eng/smj19 https://www.mathnet.ru/eng/smj/v48/i1/p224
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Abstract page: | 342 | Full-text PDF : | 92 | References: | 64 |
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