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Emmanuel Hallouin, Christian Maire

Cancellation in totally definite quaternion algebras

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.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2006, 06/2006
Pages: 189 - 213

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