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 Tr. Inst. Mat., 2008, Volume 16, Number 1, Pages 13–17 (Mi timb49)

În $p$-supersolvability of a class of finite groups

N. V. Íutsko, A. N. Skiba

Francisk Skorina Gomel State University

Abstract: Let $G$ be a finite group, $H$ a subgroup of $G$ and $H_{sG}$ be the subgroup of $H$ generated by all those subgroups of $H$ which are $s$-permutable in $G.$ Then $H$ is said to be weakly $s$-permutable in $G$ if $G$ has a subnormal subgroup $T$ such that $HT=G$ and $T\cap H\le H_{sG}.$ In the paper the notion of a weakly $s$-permutable subgroup is applied to the study of $p$-supersoluble groups.

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UDC: 512.542

Citation: N. V. Íutsko, A. N. Skiba, “În $p$-supersolvability of a class of finite groups”, Tr. Inst. Mat., 16:1 (2008), 13–17

Citation in format AMSBIB
\Bibitem{ÍutSki08} \by N.~V.~Íutsko, A.~N.~Skiba \paper În $p$-supersolvability of a class of finite groups \jour Tr. Inst. Mat. \yr 2008 \vol 16 \issue 1 \pages 13--17 \mathnet{http://mi.mathnet.ru/timb49}