A short proof of a theorem of Jennings
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, Canad. J. Math. 7 (1955), 169–187. MR 0068540, 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 0213442, 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