弱H-子群对有限群结构的影响

Influence of Weakly H-subgroups on the Structure of Finite Groups

利用弱-子群的性质,给出了幂零群和p-超可解群的一些充分条件.

Let G be a group, a subgroup H of G is called an H-subgroup in G ,if NG （H）∩ H^g 〈 H, ∨g∈ G. H is called a weakly H - subgroup in G if there exists a normal subgroup N, such that G = HN and H ∩N is an H- subgroup. Some sufficient conditions for a group are nilpotent and p-supersoluble groups.