对群上亚同态的几点注记  

Remarks on metahomomorphism of group

作　　者：刘宏伟[1] 

机构地区：[1]华中师范大学数学与统计学学院,武汉430079

出　　处：《华中师范大学学报（自然科学版）》2004年第4期415-417,共3页Journal of Central China Normal University：Natural Sciences

摘　　要：设G,G′是两个同构的群,先给出了由群G的亚同态构造群G′的亚同态的一种方法,并且证明了群G上的亚同态与群G′上的亚同态是一一对应的.再通过另外一种方法,简化了文献[3]中一个主要结果的证明.Let G and G′ be two groups respectively, and G is isomorphic to G′. The paper gives one method to construct the metahomomorphism of group G′ by using that of group G, and it proves that there exists a one-to-one correspondence between the metahomomorphisms of group G′ and that of group G. The proof of one main result in reference is also simplified.

关 键 词：群 亚同态 亚同态核 群同构 

分 类 号：O152.1[理学—数学]