The influence of SCAP and S-supplemented subgroups on the p-nilpotency of finite groups

In this paper, we investigate the influence of some subgroups of Sylow subgroups with semi cover-avoiding property and S-supplementation on the structure of finite groups. Some conditions of p-nilpotency are obtained and some recent results are generalized. Keywords SCAP, S-supplemented, p-nilpotent, subgroup.
[section] 1. Introduction Throughout the paper, all groups are finite. We use conventional notions and notation, as in Huppert [1]. G always denotes a group, [absolute value of G] is [...]