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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A short proof of a theorem of Jennings


Author: Edward Formanek
Journal: Proc. Amer. Math. Soc. 26 (1970), 405-407
MSC: Primary 20.40
MathSciNet review: 0272895
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1970-0272895-7
PII: S 0002-9939(1970)0272895-7
Keywords: Jennings' theorem, nilpotent group, group ring, augmentation ideal
Article copyright: © Copyright 1970 American Mathematical Society