| 周庆霞,游宏.二面体群的增广商群[J].数学年刊A辑,2010,31(5):531~540 |
| 二面体群的增广商群 |
| Augmentation Quotients of the Dihedral Group |
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| DOI： |
| 中文关键词: 整群环 增广理想 增广商群 |
| 英文关键词: |
| 基金项目:国家自然科学基金(No.10971150)资助的项目 |
| Author Name | Affiliation | E-mail | | ZHOU Qingxia | Department of Mathematics, School of Sciences, Tianjin University of Technol-
ogy, Tianjin 300384, China. | zhouqingxia1982@163.com | | YOU Hong | Science Research Center, Harbin Institute of Technology, Harbin 150001,
China
School of Mathematical Sciences, Soochow University, Suzhou 215006,
Jiangsu, China. | youhong@suda.edu.cn |
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| 中文摘要: |
| 记整群环ZG的增广理想△(G)的n次幂为△n(G).描述了二面体群G=D2t2r,(t≥2,r为奇数)的n-次增广商群Qn(G):△n(a)/△n+1(G)的结构,并得到Qn(D<2tr)≌Z2(s(n)),其中,如果1≤n≤t,那么s(n)=2n;如果n≥t+1,那么s(n)=2t+1. |
| 英文摘要: |
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