Nearly s-semipermutable subgroups and p-nilpotency

作者:Li Changwen*; Yi Xiaolan; Yu Xiaolong
来源:Journal of Algebra and Its Applications, 2015, 14(3): 1550035.
DOI:10.1142/S0219498815500358

摘要

We say that a subgroup H of a group G is nearly s-semipermutable in G provided G has an s-permutable subgroup T such that HT is s-permutable in G and H boolean AND T <= H-ssG, where H-ssG is the subgroup of H generated by all those subgroups of H which are s-semipermutable in G. In this paper, we investigate the influence of near s-semipermutability of some subgroups on the p-nilpotency of finite groups.

全文