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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
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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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