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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: 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.


References [Enhancements On Off] (What's this?)

  • [1] S. A. Jnnnings, The group ring of a class of infinite nilpotent groups, Canad. J. Math. 7 (1955), 169-187. MR 16, 899. MR 0068540 (16:899a)
  • [2] R. Swan, Representations of polycyclic groups, Proc. Amer. Math. Soc. 18 (1967), 573-574. MR 35 #4306. MR 0213442 (35:4306)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0272895-7
Keywords: Jennings' theorem, nilpotent group, group ring, augmentation ideal
Article copyright: © Copyright 1970 American Mathematical Society

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