Free products of abelian groups in the unit group of integral group rings
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- by Eric Jespers and Guilherme Leal
- Proc. Amer. Math. Soc. 126 (1998), 1257-1265
- DOI: https://doi.org/10.1090/S0002-9939-98-04340-8
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Abstract:
We classify finite groups $G$ which are such that the unit group of the integral group ring $\mathbf {Z}G$ has a subgroup of finite index which is a non-trivial free product of abelian groups.References
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Bibliographic Information
- Eric Jespers
- Affiliation: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1C 5S7
- MR Author ID: 94560
- Email: ejespers@albert.math.mun.ca
- Guilherme Leal
- Affiliation: Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro RJ, Brazil
- Email: gleal@mat.dme.ufrj.br
- Received by editor(s): October 7, 1996
- Additional Notes: The first named author is supported in part by NSERC grant OGP0036631, Canada.
The second named author, partially supported by CNPq, Brazil, wishes to thank the Memorial University of Newfoundland for its support and friendly atmosphere. - Communicated by: Ronald M. Solomon
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1257-1265
- MSC (1991): Primary 16U60, 16S34
- DOI: https://doi.org/10.1090/S0002-9939-98-04340-8
- MathSciNet review: 1451810