Augmentation Quotients of Free Group Rings

• 来源期刊: 代数集刊（英文版）
• 关键词: integral group ring augmentation ideal augmentation quotient
• 年，卷（期）: 2005,（4）
• 页码范围: 597-606
• 页数: 10页
• 语种: 英文

摘要

Let F be a free group and R be a subgroup of F. It is proved that△n(F)△m(R)/△n+1(F)△m(R),△n(F)△m (R)/△n-1(F)△m+1 (R),△n(F)△m(R)/△n(F)△m+1(R)are free-abelian. Explicit bases of first two and. complete descriptions of all these groups are also given.