Construction of central units in integral group rings of finite groups

Authors:
Eric Jespers and M. M. Parmenter

Journal:
Proc. Amer. Math. Soc. **140** (2012), 99-107

MSC (2010):
Primary 16S34, 16U60, 16U70

Published electronically:
May 17, 2011

MathSciNet review:
2833521

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we give new constructions of central units that generate a subgroup of finite index in the central units of the integral group ring of a finite group. This is done for a very large class of finite groups , including the abelian-by-supersolvable groups.

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Additional Information

**Eric Jespers**

Affiliation:
Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium

Email:
efjesper@vub.ac.be

**M. M. Parmenter**

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

Email:
mparmen@mun.ca

DOI:
https://doi.org/10.1090/S0002-9939-2011-10968-7

Keywords:
Group ring,
central unit.

Received by editor(s):
June 3, 2010

Received by editor(s) in revised form:
July 20, 2010, and November 10, 2010

Published electronically:
May 17, 2011

Additional Notes:
The first author was supported in part by Onderzoeksraad of Vrije Universiteit Brussel and Fonds voor Wetenschappelijk Onderzoek (Belgium)

The second author was supported in part by the Natural Sciences and Engineering Research Council of Canada.

Communicated by:
Jonathan I. Hall

Article copyright:
© Copyright 2011
American Mathematical Society