On the partial $\mathcal{L}$-$\hat{I}$-property of subgroups of finite groups

Zhengtian Qiu, Adolfo Ballester-Bolinches

Let $H$ be a subgroup of a finite group $G$. We say that $H$ satisfies the partial $\mathcal{L}$-$\hat{I}$-property in $G$ if $H⊴G$, or if $ | G / K : \mathrm{N} _{G /…