On Weakly s-Semipermutable Subgroups of Finite Groups

Abstract

We prove that a finite group G is p-supersolvable or p-nilpotent if some subgroups of G are weakly s-semipermutable in G. Several earlier results are generalized.

A note on $S$-semipermutable subgroups of finite groups

“…Note that Theorem 1.3 and Theorem 1.4 also generalize Theorem 3.5 of [7] and Theorem 3.1, Theorem 3.4 of [8].…”