具有弱正规性的有限群
FINITE GROUPS WITH WEAK NORMALITY

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.
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