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Algebra and Discrete Mathematics, 2004, Issue 2, Pages 9–16
(Mi adm334)
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This article is cited in 11 scientific papers (total in 11 papers)
RESEARCH ARTICLE
Finite group with given $c$-permutable subgroups
Ahmad Alsheik Ahmad Belorussian State University of Transport,
Belarus, 246017, Gomel, Krasnaarmeyskaya Str. 4a, 403
Abstract:
Following [1] we say that subgroups $H$ and $T$ of a group $G$ are $c$-permutable in $G$ if there exists an element $x\in G$ such that $HT^x=T^xH$. We prove that a finite soluble group $G$ is supersoluble if and only if every maximal subgroup of every Sylow subgroup of $G$ is $c$-permutable with all Hall subgroups of $G$.
Keywords:
finite group, maximal subgroup, Sylow subgroup, supersoluble group, $c$-permutable subgroup.
Received: 17.05.2004 Revised: 17.05.2004
Citation:
Ahmad Alsheik Ahmad, “Finite group with given $c$-permutable subgroups”, Algebra Discrete Math., 2004, no. 2, 9–16
Linking options:
https://www.mathnet.ru/eng/adm334 https://www.mathnet.ru/eng/adm/y2004/i2/p9
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Abstract page: | 184 | Full-text PDF : | 82 | First page: | 1 |
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