S-quasinormallity of finite groups

Abstract

Let d be the smallest generator number of a finite p-group P, and let ℳ_d(P) = {P₁,..., P_d} be a set of maximal subgroups of P such that ∩_i=1 ^dP_i=Φ(P). In this paper, the structure of a finite group G under some assumptions on the S-quasinormally embedded or SS-quasinormal subgroups in ℳ_d(P), 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

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