The permutability of ${\sigma }_i$-sylowizers of some ${\sigma }_i$-subgroups in finite groups

Zhenya Liu, Wenbin Guo

Let $\sigma =\{{\sigma }_i|i\in I\}$ be a partition of the set of all primes $\mathbb{P}$, $G$ a finite group and $\sigma (G)=\{{\sigma }_i|{\sigma }_i\cap \pi (|G|)\ne \varnothing \}$. A subgroup $S$ of a group $G$…