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关于增广商群结构问题的讨论

  • 赵红梅 ,
  • 唐国平
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  • 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

收稿日期: 1900-01-01

  修回日期: 1900-01-01

  网络出版日期: 2006-09-15

On the Structure of Augmentation Quotient Groups

  • ZHAO Hong-Mei ,
  • TANG Guo-Ping
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  • 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

Received date: 1900-01-01

  Revised date: 1900-01-01

  Online published: 2006-09-15

本文引用格式

赵红梅 , 唐国平 . 关于增广商群结构问题的讨论[J]. 中国科学院大学学报, 2006 , 23(5) : 597 -600 . DOI: 10.7523/j.issn.2095-6134.2006.5.005

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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