Geodesic
Оn $p$-supersolvability of a class of finite groups
Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 13-17

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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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N. V. Нutsko; A. N. Skiba. Оn $p$-supersolvability of a class of finite groups. Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 13-17. http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a3/