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Keywords:
SS-supplemented subgroup; maximal subgroup; solvable group; minimal subgroup
SS-supplemented subgroup; maximal subgroup; solvable group; minimal subgroup
Summary:
A subgroup $H$ of a finite group $G$ is said to be SS-supplemented in $G$ if there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K$ is S-quasinormal in $K$. We analyze how certain properties of SS-supplemented subgroups influence the structure of finite groups. Our results improve and generalize several recent results.
References:
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