摘要
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.
In this paper, we give two theorems about the isomorphism between the semidirect product of N by H corresponding to φ and that of N dy H corresponding to ψ, which the group H or two homorphism φ,ψ from the group H to the Aut(N) satisfies certain condition. One of the theorem extends a well-known result.
出处
《华中师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2004年第2期143-145,共3页
Journal of Central China Normal University:Natural Sciences
基金
国家重点基础研究规划资助项目("973"计划).
关键词
单同态
群同构
半直积
monomorphism
isomorphism of group
semidirect product