子群

Let G be an infinite group. If G has a normal elementary abelian subgroup, then G is irrecognizable.

设G是无限群,若G存在正规初等交换子群,则G是不可.

Considering the subnormal subgroups,some equivalent conditions for nilpotency of finite groups are given and a sufficient condition for nilpotency of finite groups is obtained.

究次正规子群对有限群结构影响,到幂零群若干等价件和一个充件。