Group algebras of Kleinian type and groups of units

dc.creatorOlteanu, Gabriela
dc.creatordel Rio, Angel
dc.date2007-01-12
dc.date.accessioned2026-07-07T07:40:38Z
dc.date.available2026-07-07T07:40:38Z
dc.descriptionThe 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0701351
dc.identifierhttp://arxiv.org/abs/math/0701351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121831
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject16S34, 20C05, 16A26, 16U60, 11R27
dc.titleGroup algebras of Kleinian type and groups of units
dc.typetext

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