Free products of abelian groups

in the unit group of integral group rings

Authors:
Eric Jespers and Guilherme Leal

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1257-1265

MSC (1991):
Primary 16U60, 16S34

MathSciNet review:
1451810

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Abstract | References | Similar Articles | Additional Information

Abstract: We classify finite groups which are such that the unit group of the integral group ring has a subgroup of finite index which is a non-trivial free product of abelian groups.

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Additional Information

**Eric Jespers**

Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1C 5S7

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

DOI:
https://doi.org/10.1090/S0002-9939-98-04340-8

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

Article copyright:
© Copyright 1998
American Mathematical Society