The influence of S-quasinormality of some subgroups of prime power order on the structure of finite groups

Abstract

Let G be a finite group. Two subgroups H and K of G are said to permute if \(\langle H,K\rangle = HK = KH\). A subgroup H of G is S-quasinormal in G if it permutes with every Sylow subgroup of G. In this paper we investigate the influence of S-quasinormality of some subgroups of prime power order of a finite group on its supersolvability.