Finite groups with permutable Hall subgroups

Xia Yin, Nanying Yang

Let $\sigma =\{{\sigma }_i|i\in I\}$ be a partition of the set of all primes $\mathbb{P}$ and $G$ a finite group. A set $\mathcal{H}$ of subgroups of $G$ is said to be a \emph{complete Hall $\sigma$-se…