A generalization of $c$-Supplementation

Li, Shiheng; Liang, Dengfeng; Shi, Wujie

A generalization of $c$-Supplementation

Authors

Li, Shiheng

Liang, Dengfeng

Shi, Wujie

Description

A subgroup $H$ is said to be $nc$-supplemented in a group $G$ if there is a subgroup $K\leq G$ such that $HK\unlhd G$ and $H\cap K$ is contained in $H_G$, the core of $H$ in $G$. We characterize the solvability of finite groups $G$ with some subgroups of Sylow subgroups $nc$-supplemented in $G$. We also give a result on $c$-supplemented subgroups.
5 pages