Weakly s-semipermutable subgroups of finite groups

Abstract

In this paper, we introduce the concept of weakly s-semipermutable subgroups. Let G be a finite group. Using the condition that the minimal subgroups or subgroups of order p² of a given Sylow p-subgroup of G are weakly s-semipermutable in G, we give a criterion for p-nilpotency of G and get some results about formation.

Keywords

weakly s-semipermutable subgroup / p-nilpotency / formation

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