Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
DOI: https://doi.org/10.1090/S0002-9939-99-04823-6
MathSciNet review: 1486758
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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
  • 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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16S34, 20C07

Retrieve articles in all journals with MSC (1991): 16S34, 20C07


Additional Information

Lukasz Wiechecki
Affiliation: Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland
Email: lwiech@mimuw.edu.pl

DOI: https://doi.org/10.1090/S0002-9939-99-04823-6
Received by editor(s): May 12, 1997
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1999 American Mathematical Society

American Mathematical Society