Weakly s-semipermutable subgroups of finite groups

作者：Xu, Yong; Li, Xianhua^*

来源：Frontiers of Mathematics in China, 2011, 6(1): 161-175.

DOI：10.1007/s11464-010-0081-x

• weakly s-semipermutable subgroup
• p-nilpotency
• formation

In this paper, we introduce the concept of weakly s-semipermutable subgroups. Let G be a finite group. Using the condition that the minimal subgroups or subgroups of order p (2) of a given Sylow p-subgroup of G are weakly s-semipermutable in G, we give a criterion for p-nilpotency of G and get some results about formation.

• 出版日期2011-1
• 单位苏州大学