Finite $p$-supersoluble groups with some $E$-$S$-supplemented subgroups

Abstract

Let H be a subgroup of a group G and H_{eG} denote the subgroup of H generated by all those subgroups of H which are S -permutably embedded in G . H is said to be E - S -supplemented in G if there exists a subnormal subgroup T of G such that G=HT and H\cap T\leq H_{eG} . In this paper, we investigate the influence of some E - S -supplemented subgroups on the structure of finite group. Some new characterizations of p -supersoluble groups are obtained.