N_p-z-可补子群对有限群结构的影响

The influence of N_p-z- supplemented subgroups on the structure of finite groups

G子群H称为F-z-可补的,如果存在G的一个子群K,使G=HK且H∩K≤Z∞F(G),其中:F是饱和的局部群系.运用群系理论研究Sylow子群的n-极大子群的Np-z-可补性对有限群结构的影响,得到一些新的结果,推广了相关的已知结果.

A subgroup H of a finite group G is said to be CN- z- supplemented in G if there is a subgroup K of G such that G = HK and H ∩K 〈 Z （G）, where is a formation of finite groups. Researched further the influence of CN - z - supplemented subgroups on the structure of finite groups, obtained some new conclusion, some previously known results was generalized.