【摘要】 设G是一个有限群,F是一个群系,称群G的一个子群H在G中F-可补的,如果存在G的一个子群T,使得G=HT且(H∩T)HG/HG包含在G/HG的F-超中心ZF∞(G/HG),利用F-可补子群研究有限群的p-幂零性,推广和统一了一些已知的结果。更多还原

【Abstract】 Let G be a finite group and F a formation of finite groups.A subgroup H of G is F-supplemented in G if there exists a subgroup T of G such that G=HT and(H∩T)HG/HG is contained in the F-hypercenter Z∞F(G/HG) of G/HG.In this paper,we use F-supplemented subgroups to study p-nilpotency of finite groups.A series of previously known results are unified and generalized.更多还原