广义四元数群的Burnside环的增广理想的连续商群的结构（英文）  

The Structure of Powers of the Augmentation Ideal and Their Quotients for the Burnside Ring of a Generalized Quaternion Group

作　　者：唐高华 李玉 吴严生 TANG Gaohua;LI Yu;WU Yansheng(School of Mathematics and Statistics, Guangxi Teachers Education University, Nanning, Guang- xi, 530023, P. R. China;Qinzhou University, Qinzhou, Guangxi, 535011, P. R. China)

机构地区：[1]广西师范学院数学与统计科学学院,南宁广西530023 [2]钦州学院,钦州广西535011

出　　处：《数学进展》2018年第3期424-432,共9页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11661014);Guangxi Natural Science Foundation(Nos.2016GXNSFCA380014,2016GXNSFDA380017);the Guangxi Science Research and Technology Development Project(No.1599005-2-13);the Scientific Research Foundation of Guangxi Education Department(No.KY2015ZD075)

摘　　要：本文主要讨论了广义四元数群的Burnside环的增广理想的n次幂与n+1次幂的商,并给出了这类连续商群的结构.In this paper, the consecutive quotients of powers of the augmentation ideal for the Burnside ring of a generalized quaternion group are studied, and the structure for such consecutive quotients is completely determined for any finite generalized quaternion group.

关 键 词：广义四元数群 Burnside环 增广理想 连续商群 

分 类 号：O153.3[理学—数学]