A generalization of $c$-Supplementation

Shiheng Li, Dengfeng Liang, Wujie Shi

A subgroup $H$ is said to be $nc$-supplemented in a group $G$ if there is a subgroup $K\le G$ such that $HK⊴G$ and $H\cap K$ is contained in $H_G$, the core of $H$ in $G$. W…