Geodesic
On SS-Quasinormal and S-Quasinormally Embedded Subgroups of Finite Groups
Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 300-311

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A subgroup $H$ of a group $G$ is said to be an SS-quasinormal (Supplement-Sylow-quasinormal) subgroup if there is a subgroup $B$ of $G$ such that $HB = G$ and $H$ permutes with every Sylow subgroup of $B$. A subgroup $H$ of a group $G$ is said to be S-quasinormally embedded in $G$ if for every Sylow subgroup $P$ of $H$, there is an S-quasinormal subgroup $K$ in $G$ such that $P$ is also a Sylow subgroup of $K$. Groups with certain SS-quasinormal or S-quasinormally embedded subgroups of prime power order are studied.
Keywords: SS-quasinormal subgroup, $p$-nilpotent group
Mots-clés : supersolvable group, formation. 
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     author = {Zhencai Shen and Shirong Li and Jinshan Zhang},
     title = {On {SS-Quasinormal} and {S-Quasinormally} {Embedded} {Subgroups} of {Finite} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {300--311},
     publisher = {mathdoc},
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     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a11/}
}
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Zhencai Shen; Shirong Li; Jinshan Zhang. On SS-Quasinormal and S-Quasinormally Embedded Subgroups of Finite Groups. Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 300-311. http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a11/