Augmentation Quotients for Complex Representation Rings of Generalized Quaternion Groups

作     者：Shan CHANG 

作者机构：School of MathematicsHefei University of Technology 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2016年第37卷第4期

页      面：571-584页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.11226066,11401155) Anhui Provincial Natural Science Foundation(No.1308085QA01) 

主　　题：Generalized quaternion groups Representation ring Augmentation quotients 

摘      要：Abstract Denote by Qm the generalized quaternion group of order 4m. Let R（Qm） be its complex representation ring, and △（Qm） its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n（Qm） mid determines the isomorphism class of the n-th augmentation quotient for each positive integer n.