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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Finitely generated group ring units

Author: Lukasz Wiechecki
Journal: Proc. Amer. Math. Soc. 127 (1999), 51-55
MSC (1991): Primary 16S34, 20C07
MathSciNet review: 1486758
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Abstract: We give a classification of nilpotent groups $G$ for which the unit group of the integral group ring is finitely generated.

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

  • 1. M. Kargapolov and Yu. Merzljakov, Fundamentals of the theory of groups, Springer Verlag, 1979. MR 80k:20002
  • 2. Z. Marciniak and S. K. Sehgal, Zassenhaus conjectures for infinite groups, Proceedings of the International Conference on Ring Theory, Miskolc '96, to appear.
  • 3. M. Mirowicz, Units in group rings of the infinite dihedral group, Canad. Math. Bull. 34(1), (1991), pp. 83-89. MR 92g:16050
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  • 5. S. K. Sehgal, Units in integral group rings, Longman's, Essex, 1993. MR 94m:16039

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Additional Information

Lukasz Wiechecki
Affiliation: Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland

Received by editor(s): May 12, 1997
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1999 American Mathematical Society

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