Describing units of integral group rings up to commensurability

2014/01/30 by Eisele, Florian, Kiefer, Ann, Van Gelder, Inneke · 1 citation
#16S34 #16U60 #20C05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1401.7854

Abstract

We restrict the type of 2 × 2-matrices 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 \mathbb Z G for all finite groups G that do not have a non-commutative Frobenius complement as a quotient.

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