Group algebras of Kleinian type and groups of units

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The algebras of Kleinian type are finite dimensional semisimple rational algebras $A$ such that the group of units of an order in $A$ is commensurable with a direct product of Kleinian groups. We classify the Schur algebras of Kleinian type and the group algebras of Kleinian type. As an application, we characterize the group rings $RG$, with $R$ an order in a number field and $G$ a finite group, such that $RG^*$ is virtually a direct product of free-by-free groups.
12 pages

Keywords

Representation Theory, Group Theory, 16S34, 20C05, 16A26, 16U60, 11R27

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/121831

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701351
 http://arxiv.org/abs/math/0701351

Collections

arXiv