Geodesic
Оn $p$-supersolvability of a class of finite groups
Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 13-17 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Skiba A.N., “On weakly $s$-permutable subgroups of finite groups”, J. Algebra, 315 (2007), 192–209 | DOI | MR | Zbl

[2] Weinstein M., etc., Between Nilpotent and Solvable, Polygonal Publishing House, Passaic, NJ, 1982 | MR | Zbl

[3] Skiba A.N., “Finite groups with given systems of generalized permutable subgroups”, Izv. Gomelskogo gos. un-ta im. F. Skoriny, 2006, no. 3(36), 12–32

[4] Guo W., Shum K.P., Skiba A.N., “X-semipermutable Subgroups of Finite Groups”, J. Algebra, 315 (2007), 31–41 | DOI | MR | Zbl

[5] Guo W., Shum K.P., Skiba A.N., “$G$-covering subgroup systems for the classes of supersoluble and nilpotent groups”, Israel J. of Math., 138 (2003), 125–138 | DOI | MR | Zbl

[6] Shemetkov L.A., Formatsii konechnykh grupp, Nauka, M., 1978 | MR | Zbl

[7] Huppert B., Endliche Gruppen I, Springer, Berlin; Heidelberg; New York, 1967 | MR | Zbl