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N-Series and Filtrations of the Augmentation Ideal

Published online by Cambridge University Press:  20 November 2018

Gerald Losey
Gerald Losey*
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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Let G be a group. Denote by ZG the group ring of G over the integers and by Δ = Δ(G) the augmentation ideal of ZG, that is, the kernel of the augmentation map ϵ : ZG → Z defined by . Then Δ is a free abelian group with a free basis . A filtration of Δ is a sequence

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 4 , August 1974 , pp. 962 - 977
Copyright
Copyright © Canadian Mathematical Society 1974

References

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