弱C~#-正规子群与有限群的P-幂零性

Weakly C~# - normal Subgroups and the p - nilpotency of Finite Groups

群G的一个子群H称为在G中弱C~#-正规,如果存在G的次正规子群K,G=HK,H∩K是G的CAP-子群.利用弱C^k-正规子群研究有限群的p-幂零性.

A Subgroup H of a group G is called to be a Weakly C# - normal in G if there exists a subnormal subgroup K of G such that G = HK and H ∩ K is a CAP - Subgroup K of G. The influence of Weakly C# - normal Subgroup on the p - nilpotency of finite groups is investigated.