导群幂零的群的结构与性质

Constraction and Property of Groups with its Derived Groups is Nilpotent Group

众所周知,幂零群类超可解群类导群幂零的群类。本文的目的,是决定导群幂零的群的结构,并由此得出类似于幂零群和超可解群类的性质。

It's well known that the class of nilpotent groups the class of supersoluble groups the class of groups with nilpotent derived group.The purpose of this paper is to determine construction of groups with nilpotent derived group,and then to obtain some properties similar to the class of nilpotent and supersoluber groups.