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Título:
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Presentations of the unit group of an order in a non-split quaternion algebra
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Autores:
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Corrales Rodrigáñez, Carmen ;
Jespers, Eric ;
Leal, Guilherme ;
Rio, Ángel del
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Tipo de documento:
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texto impreso
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Editorial:
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Elsvier, 2004
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Grupos (Matemáticas)
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/id/eprint/14942/1/01.pdf
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