弱拟正规子群对有限群结构的影响

INFLUENCE OF WEAKLY QUASI-NORMAL SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

对任意有限群G,利用其子群的弱拟正规条件刻划原群G的结构,给出G超可解的若干充分条件,并推广相关文献的结果.

For any finite group G, weakly quasi - normal condition is used on some subgroups of G to characterize the structure of G , and obtain some sufficient conditions for a group G to be supersolvable. Moreover some known results in the relevant reference are improved.