City Research Online

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


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
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
Date Deposited: 20 Jan 2016 16:54
Text - Accepted Version
Available under License : See the attached licence file.

Download (246kB) | Preview
Text (Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence) - Other
Download (201kB) | Preview



Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login