Describing units of integral group rings up to commensurability

Florian Eisele ^[1] ; Ann Kiefer ^[1] ; Inneke Van Gelder ^[1]
1. [1] Vrije Universiteit Brussel
  
  Vrije Universiteit Brussel
  
  Arrondissement Brussel-Hoofdstad, Bélgica
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 7 (July 2015), 2015, págs. 2901-2916
Idioma: inglés
DOI: 10.1016/j.jpaa.2014.09.031
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Resumen
- We restrict the types of 2×22×2-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 ZGZG for all finite groups G that do not have a non-commutative Frobenius complement as a quotient.