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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

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.

Publication Type: Article
Additional Information: © 2014, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Publisher Keywords: Units in integral group rings, Rational group representations, Wedderburn components
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/13180
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