关于半直积同构的讨论  

Discussion on the Isomorphism of the Semidirect Product

作　　者：侯谦民[1] 

机构地区：[1]湖北经济管理大学公共课部,湖北武汉430074

出　　处：《数学的实践与认识》2006年第10期251-253,共3页Mathematics in Practice and Theory

摘　　要：这篇文章从半直积的定义出发,给出了当群H或当从群H到N的自同构群Aut(N)的两个同态φ,ψ满足一定条件时半直积N∝φH与N∝ψH同构的两个定理,而其中一个定理是一个已知结果的推广.We give two theorems about the isomorphism between the semidirect product of N by H corresponding to φand that of N by H corresponding to ψ, which the group H or two homorphism φ,ψ from the group H to the Aut（N） satisfies some condition. One of the theorem extend a well-known result.

关 键 词：单同态 群同构 半直积 

分 类 号：O152[理学—数学]