【摘要】 引入弱SS-半置换子群的概念,介绍了弱SS-半置换子群的性质,结合有限群G的极小于群的弱SS-半置换性,并结合C-正规性来讨论有限群的超可解性及幂零性,得到了有限群超可解及幂零的若干充分或充要条件,同时推广了某些著名结果.更多还原

【Abstract】 In this paper,we introduce the definition of weakly SS-semipermutable subgroups and the properties of them,and we study the supersolvabiUty and p-nilpotent of finite groups by using weakly SS-semipermutable and C-normal property of minimal subgroups.Some sufficient conditions are obtained for finite groups to be supersolvable or p-nilpotent.Some previously known results are generalized.更多还原