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We give an algorithm to determine a finite set of generators of the unit group of an order in a non-split classical quaternion algebra H(K) over an imaginary quadratic extension K of the rationals. We then apply this method to obtain a presentation for the unit group of H(Z[(1+root-7)/(2)]). As a consequence a presentation is discovered for the orthogonal group SO3(Z[(1+root-7)/(2)]). These results provide the first examples of a characterization of the unit group of some group rings that have an epimorphic image that is an order in a non-commutative division algebra that is not a totally definite quaternion algebra.

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Corrales Rodrigáñez, Carmen -  Jespers, Eric -  Leal, Guilherme -  Rio, Ángel del - 

Id.: 55211140

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveGrupos (Matemáticas) - 

Tipo de recurso: info:eu-repo/semantics/article  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: info:eu-repo/semantics/restrictedAccess

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://eprints.ucm.es/14942/
[References] http://www.sciencedirect.com/science/article/pii/S0001870803002585
[References] http://dx.doi.org/10.1016/j.aim.2003.07.015

Fecha de contribución: 18-oct-2016



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