共轭子群的几个性质

摘要

由于有限群子群的乘积不一定是子群,如何判断子群的乘积为子群是一个重要的问题.本文主要证明有限群的所有共轭子群的乘积是子群,并且给出了共轭子群的几个性质.%Because of the multiplicative subgroup of a finite group is not a group,how to determine the product of its subgroup for subgroup is an important problem.This paper proves that the product of all conjugate subgroups of a finite group is a subgroup.In particular,we give some propositions about the conjugate subgroups.