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The Group Ring Of a Class Of Infinite Nilpotent Groups

Published online by Cambridge University Press:  20 November 2018

S. A. Jennings
S. A. Jennings*
Affiliation:
University of British Columbia
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Introduction. In this paper we study the (discrete) group ring Γ of a finitely generated torsion free nilpotent group over a field of characteristic zero. We show that if Δ is the ideal of Γ spanned by all elements of the form G − 1, where G ∈ , then

and the only element belonging to Δw for all w is the zero element (cf. (4.3) below).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 169 - 187
Copyright
Copyright © Canadian Mathematical Society 1955

References

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