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Finitely generated group ring units
Author(s):
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  for which the unit group of the integral group ring is finitely generated.
References:
- 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
- 4.
- S. K. Sehgal, Topics in group rings, Marcel Dekker, 1978. MR 80j:16001
- 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
Email:
lwiech@mimuw.edu.pl
DOI:
10.1090/S0002-9939-99-04823-6
PII:
S 0002-9939(99)04823-6
Received by editor(s):
May 12, 1997
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1999,
American Mathematical Society
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