Induced Morphisms Between Localization Genera of Groups  

作　　者：J.C. Mba P.J. Witbooi 

机构地区：[1]University of the Western Cape, Private Bag X17, 7535 Bellville, South Africa

出　　处：《Algebra Colloquium》2014年第2期285-294,共10页代数集刊（英文版）

摘　　要：For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F＇ is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F＇ is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.

关 键 词：LOCALIZATION restricted genus groups under a finite group 

分 类 号：O154[理学—数学] O152.1[理学—基础数学]