Induced Morphisms Between Localization Genera of Groups

• 作者: J.C. Mba P.J. Witbooi
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 本土化 态射 正规子群 群体 同态 诱导 分解
• 年，卷（期）: 2014,（2）
• 页码范围: 285-294
• 页数: 10页
• 分类号: O154
• 语种: 中文

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.