On nearly SS-embedded subgroups of finite groups

Abstract

Let H be a subgroup of a finite group G. H is nearly SS-embedded in G if there exists an S-quasinormal subgroup K of G, such that HK is S-quasinormal in G and H ∩ K ≤ H _seG, where H _seG is the subgroup of H, generated by all those subgroups of H which are S-quasinormally embedded in G. In this paper, the authors investigate the influence of nearly SS-embedded subgroups on the structure of finite groups.

Keywords

S-quasinormal subgroup / Nearly SS-embedded subgroup / Sylow subgroup / p-nilpotent group / Supersolvable group

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