摘要
众所周知，有限群的两个幂零子群的积不一定是幂零的．本文研究了Ｅｎｇｅｌ条件对两个幂零子群的影响，得到两个幂零子群的积为幂零群的几个充分条件。
It is known that the product of two nilpotent subgroups of a finite group is not necessarily nilpotent.In this paper, we study the influence of the Engel condition on the product of two nilpotent subgroups. Our results generalize some well-known results.
基金
Supported by the Nitional Science Foundation of China !(19871073)
关键词
有限群
幂零子群
积
充分条件
n-Engel condition
nilpotent group
p-nilpotent group.
