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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
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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.
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)
关键词 Burnside环 增广理想 连续商群 2-群 半二面体群 Burnside ring augmentation ideal consecutive quotient finite 2-group semidihedral group
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