Czechoslovak Mathematical Journal, Vol. 71, No. 3, pp. 837-846, 2021


Finite groups with some SS-supplemented subgroups

Mengling Jiang, Jianjun Liu

Received March 12, 2020.   Published online March 24, 2021.

Abstract:  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.
Keywords:  SS-supplemented subgroup; maximal subgroup; solvable group; minimal subgroup
Classification MSC:  20D10, 20D20


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Affiliations:   Mengling Jiang, Jianjun Liu (corresponding author), School of Mathematics and Statistics, Southwest University, Beibei, Chongqing, 400715, P. R. China, e-mail: 991311410@qq.com, liujj198123@163.com


 
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