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Publication Date:
June 2006
ISSN:
1435-5345
DOI:
10.1515/CRELLE.2006.048

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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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Cancellation in totally definite quaternion algebras

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Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2006, Issue 595, Pages 189–213, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2006.048, June 2006

Publication History:
Received:
2004-04-21
Revised:
2005-05-16
Published Online:
2006-06-23

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.

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