Constructing free subgroups of integral group ring units
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- by Zbigniew S. Marciniak and Sudarshan K. Sehgal PDF
- Proc. Amer. Math. Soc. 125 (1997), 1005-1009 Request permission
Abstract:
Let $G$ be an arbitrary group. It is proved that if $\mathbb {Z}G$ contains a bicyclic unit $u\ne 1$, then $\langle u,u^*\rangle$ is a nonabelian free subgroup of invertible elements.References
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Additional Information
- Zbigniew S. Marciniak
- Affiliation: Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland
- Email: zbimar@mimuw.edu.pl
- Sudarshan K. Sehgal
- Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- MR Author ID: 158130
- Email: s.sehgal@ualberta.ca
- Received by editor(s): October 25, 1995
- Additional Notes: The authors were supported by Canadian NSERC Grant A-5300 and Polish Scientific Grant 2P30101007.
- Communicated by: Ronald M. Solomon
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1005-1009
- MSC (1991): Primary 16S34, 16U60
- DOI: https://doi.org/10.1090/S0002-9939-97-03812-4
- MathSciNet review: 1376998