%0 Journal Article
%T 具有弱正规性的有限群<br>FINITE GROUPS WITH WEAK NORMALITY
%A 作者
%A 薛海波
%A 张钰
%A 吕恒
%J 数学杂志
%D 2018
%X 本文研究了一类有限可解MC-群G.若群G的任意非正规循环子群H，都存在一个素数p使得|G：HG||p，则群G被称为MC-群.利用该群的可解性，获得了非幂零可解MC-群的详细分类.<br>In the paper, we study the finite soluble MC-groups. The group G is called an MC-group if there exists a prime p such that|G:HG||p for each non-normal cyclic subgroup H of G. By using the solvability of G, we give the classification of the finite soluble non-nilpotent MC-groups
%K 有限p-群 MC-群 可解群&lt
%K br&gt
%K finite p-group MC-group soluble group
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180615&flag=1