Finite groups with some $SS$-embedded subgroups

Document Type: Research Paper

Author

School of Science, Shandong University of Technology

Abstract

We call $H$ an $SS$-embedded subgroup of $G$ if there exists a‎ ‎normal subgroup $T$ of $G$ such that $HT$ is subnormal in $G$ and‎ ‎$H\cap T\leq H_{sG}$‎, ‎where $H_{sG}$ is the maximal $s$-permutable‎ ‎subgroup of $G$ contained in $H$‎. ‎In this paper‎, ‎we investigate the‎ ‎influence of some $SS$-embedded subgroups on the structure of a‎ ‎finite group $G$‎. ‎Some new results were obtained.‎

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