Describing units of integral group rings up to commensurability

Eisele, F. , Kiefer, A. and Van Gelder, I. (2015) Describing units of integral group rings up to commensurability. Journal of Pure and Applied Algebra, 219(7), pp. 2901-2916. (doi: 10.1016/j.jpaa.2014.09.031)

Full text not currently available from Enlighten.

Abstract

We restrict the types of 2 × 2-matrix rings which can occur as simple components in the Wedderburn decomposition of the rational group algebra of a finite group. This results in a description up to commensurability of the group of units of the integral group ring ℤG for all finite groups G that do not have a non-commutative Frobenius complement as a quotient.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Eisele, Dr Florian
Authors: Eisele, F., Kiefer, A., and Van Gelder, I.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Journal of Pure and Applied Algebra
Publisher:Elsevier
ISSN:0022-4049
ISSN (Online):1873-1376
Published Online:07 October 2014

University Staff: Request a correction | Enlighten Editors: Update this record