On s-semipermutable subgroups of finite groups

Abstract

Suppose that G is a finite group and H is a subgroup of G. We say that H is s-semipermutable in G if H Gp = GpH for any Sylow p-subgroup Gp of G with (p, |H|) = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.