Proceedings Mathematical Sciences

, Volume 118, Issue 4, pp 537–546 | Cite as

Some augmentation quotients of integral group rings

Article

Abstract

Let G be a group and H be a subgroup of G. A complete description of Δ(Gn(H)/Δn + 1(H) is given, and as a consequence the structures of Δ(G)/Δ(H) and Δ2(G)/Δ2(H) are determined. Also, the structure of Δn(G)/Δn(H) for all n ≥ 1 is determined when G is a free group.

Keywords

Integral group ring augmentation ideal augmentation quotient 

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Copyright information

© Indian Academy of Sciences 2008

Authors and Affiliations

  1. 1.School of Mathematics and Computer ApplicationsThapar UniversityPatialaIndia
  2. 2.Department of MathematicsKurukshetra UniversityKurukshetraIndia

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