Florian Eisele, Ann Kiefer, Inneke Van Gelder
Published 2014-01-30, updated 2014-09-17Version 2
We restrict the type of $2 \times 2$-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.
Comments: Revised version. Accepted for publication in J. Pure and Appl. Algebra
The Structure of $G/Φ(G)$ in Terms of $σ(G)$
Groups with a Character of Large Degree
Finite groups with an automorphism cubing a large fraction of elements
![QR code for arXiv:1401.7854 [math.GR]](http://oss.arxitics.com/images/favicon.svg)