A Basis for Powers of the Augmentation Ideal

• 来源期刊: 代数集刊（英文版）
• 学科: 数学
• 关键词: basis augmentation ideal
• 年，卷（期）: 2001,（2）
• 页码范围: 121-128
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

In this paper, an inductive method is given for constructing a Z-basis of the abelian group Δn(G) whenever G is a finite elementary abelian p-group,where Δ(G) is the augmentation ideal of the integral group ring ZG. This result is then applied to the problem of finding a presentation for Δn(G).