Geodesic
Finite groups with some SS-supplemented subgroups
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 837-846
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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.
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.
DOI : 10.21136/CMJ.2021.0110-20
Classification : 20D10, 20D20
Keywords: SS-supplemented subgroup; maximal subgroup; solvable group; minimal subgroup 
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Jiang, Mengling; Liu, Jianjun. Finite groups with some SS-supplemented subgroups. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 837-846. doi: 10.21136/CMJ.2021.0110-20

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