S-quasinormality of finite groups

Abstract

Let d be the smallest generator number of a finite p-group P, and let be a set of maximal subgroups of P such that . In this paper, the structure of a finite group G under some assumptions on the S-quasinormally embedded or SS-quasinormal subgroups in , for each prime p, and Sylow p-subgroups P of G is studied.

Keywords

SS-quasinormal subgroup / S-quasinormally embedded subgroup / p-nilpotent group / p-supersolvable group / formation