| 关于增广商群结构问题的讨论 |
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| 作者姓名： | 赵红梅 唐国平 |
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| 作者单位： | 1.西北工业大学理学院应用数学系, 陕西西安, 710072
2 中国科学院研究生院数学系, 北京, 100049 |
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| 摘 要： |
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| 关 键 词： | 整数环 增广商群 二面体群 |
On the Structure of Augmentation Quotient Groups |
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| Authors: | ZHAO Hong-Mei TANG Guo-Ping |
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| Institution: | 1.School of Science, Northwestern Polytechnical University, Xi’an, 710072, P.R.China
;2.Department of Mathematics, Graduate School of Chinese Academy ;of Sciences, Beijing, 100049, P.R.China |
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| Abstract: | Let G be a finite group, ZG its integral group ring and n(G) the nth power of the augmentation ideal (G), denote Qn(G) = n(G)/n+1(G) the augmentation quotient groups of G. In this paper we give a set of generators for n(G) related to the Sylow p−subgroup of G. At last the structure of Qn(D2tk) for dihedral group D2tk is discussed and Qn(D2tk) ∼= Qn(D2t ) is proved. |
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| Keywords: | integral group ring augmentation quotient group dihedral group |
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