A short proof of a theorem of Jennings
Author:
Edward Formanek
Journal:
Proc. Amer. Math. Soc. 26 (1970), 405-407
MSC:
Primary 20.40
DOI:
https://doi.org/10.1090/S0002-9939-1970-0272895-7
MathSciNet review:
0272895
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Abstract | References | Similar Articles | Additional Information
Abstract: We give a short proof of the theorem of Jennings that the augmentation ideal of the group ring of a finitely generated torsion free nilpotent group is residually nilpotent.
- S. A. Jennings, The group ring of a class of infinite nilpotent groups, Canadian J. Math. 7 (1955), 169–187. MR 68540, DOI https://doi.org/10.4153/CJM-1955-022-5
- Richard G. Swan, Representations of polycyclic groups, Proc. Amer. Math. Soc. 18 (1967), 573–574. MR 213442, DOI https://doi.org/10.1090/S0002-9939-1967-0213442-5
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Keywords:
Jennings’ theorem,
nilpotent group,
group ring,
augmentation ideal
Article copyright:
© Copyright 1970
American Mathematical Society