On composition factors and NS-supplemented subgroups

Abstract

In this paper, we will continue to discuss the topic on NS-supplemented subgroups proposed by Monakhov and Trofimuk. In detail, we obtained the classification of nonabelian pd-composition factors by using the NS-supplemented Sylow p-subgroup (or NS-supplemented sylowizer for every maximal subgroup of a Sylow p-subgroup) and we also investigated p-supersolvable hypercentre of a group G.