Hyperbolic Unit Groups and Quaternion Algebras

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dc.creatorJuriaans, S. O.
dc.creatorPassi, I. B. S.
dc.creatorFilho, A. C. Souza
dc.date2007-09-13
dc.date2009-01-14
dc.date.accessioned2026-07-07T12:28:29Z
dc.date.available2026-07-07T12:28:29Z
dc.descriptionWe Classify the rational quadratic extensions K and the finite groups G for which the group ring R[G] of G over the ring R of integers of K has the property that the group of units of augmentation 1 of R[G] is hyperbolic. We also construct units in a non-split quaternion algebra over R.
dc.description15 pages, this work is part of the PHd. Thesis of the third author. The paper was accepted in Proceedings Mathematical Sciences
dc.identifierhttps://arxiv.org/abs/0709.2161
dc.identifierhttp://arxiv.org/abs/0709.2161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215557
dc.subjectRings and Algebras
dc.subjectGroup Theory
dc.subject16U60, 16S34, 20F67
dc.titleHyperbolic Unit Groups and Quaternion Algebras
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