两个超可解性定理的推广(英文)

Generalization of Two Supersolvability Theorems

子群H称为在有限群G中有补 ,如果存在G的子群N使HN =G且H∩N =1.此时 ,N称为H在G中的补子群 .该文目的是推广由李德玉和郭秀云得到的有关可补子群的两个超可解性定理 .

A subgroup H is said to be complemented in a finite group G if there exists a subgroup N of G such that HN=G and H∩N=1. In this case, N is called a complement of H in G. The purpose of this paper is to generalize two supersolvability theorems obtained by LI De-yu and GUO Xiu-yun with respect to complemented subgroups of finite groups.