非交换2-群的Burnside环的连续商群（英文）  

On the Consecutive Quotients for the Burnside Ring of Some Nonabelian 2-groups

作　　者：唐高华[1] 李玉[1] 吴严生[1] 

机构地区：[1]广西师范学院数学与统计科学学院,广西南宁530023

出　　处：《广西师范学院学报（自然科学版）》2016年第2期1-7,共7页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：The research was supported by the National Natural Science Foundation of China(11461010);the Guangxi Science Research and Technology Development Project(1599005-2-13);the Scientific Research Fund of Guangxi Education Department(KY2015ZD075)

摘　　要：主要讨论了分别由半二面体群S_m和另一类非交换2-群M_m(2)构造的Burnside环的增广理想的n次幂与n+1次幂之商,并完整地给出了这两类商群的结构.In this paper, we study the consecutive quotients of powers of the augmentation ideal for the Burnside ring of a semidihedral group and another nonabelian 2-group,and the structure for such consecutive quotients can be completely determined.

关 键 词：Burnside环 增广理想 连续商群 2-群 半二面体群 

分 类 号：O153.3[理学—数学] O152[理学—基础数学]