Hyperbolic unit groups and quaternion algebras
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2009
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Resumo |
We classify the quadratic extensions K = Q[root d] and the finite groups G for which the group ring o(K)[G] of G over the ring o(K) of integers of K has the property that the group U(1)(o(K)[G]) of units of augmentation 1 is hyperbolic. We also construct units in the Z-order H(o(K)) of the quaternion algebra H(K) = (-1, -1/K), when it is a division algebra. |
Identificador |
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, v.119, n.1, p.9-22, 2009 0253-4142 |
Idioma(s) |
eng |
Publicador |
INDIAN ACAD SCIENCES |
Relação |
Proceedings of the Indian Academy of Sciences-mathematical Sciences |
Direitos |
restrictedAccess Copyright INDIAN ACAD SCIENCES |
Palavras-Chave | #Hyperbolic groups #quaternion algebras #free groups #group rings #units #GROUP-RINGS #Mathematics |
Tipo |
article original article publishedVersion |