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Cancellation in totally definite quaternion algebras
-
Emmanuel Hallouin
and
Christian Maire
Published/Copyright:
June 23, 2006
Abstract
In [M.-F. Vignéras, Simplification pour les ordres des corps de quaternions totalement définis, J. reine angew. Math. 286/287 (1976), 257–277.], M.-F. Vignéras proves that only a finite number of Eichler orders of a totally definite quaternion algebra over a number field can have the cancellation property. In this article, we draw up the complete list of the genus of these orders.
Received: 2004-04-21
Revised: 2005-05-16
Published Online: 2006-06-23
Published in Print: 2006-06-01
© Walter de Gruyter
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Articles in the same Issue
- Extension of structure groups of principal bundles in positive characteristic
- Phase transitions on Hecke C*-algebras and class-field theory over ℚ
- Existence results for a class of rate-independent material models with nonconvex elastic energies
- Endotrivial modules for finite groups of Lie type
- Solution to the inverse problem for upper asymptotic density
- Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space
- Cancellation in totally definite quaternion algebras
- Mesures et équidistribution sur les espaces de Berkovich
