Some explicit constructions of integral structures in quaternion algebras

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Let B be an undefined quaternion algebra over Q. Following the explicit chacterization of some Eichler orders in B given by Hashimoto, we define explicit embeddings of these orders in some local rings of matrices; we describe the two natural inclusions of an Eichler order of leven Nq in an Eichler order of level N. Moreover we provide a basis for a chain of Eichler orders in B and prove results about their intersection.

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Number Theory, Algebraic Geometry, 11R52

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http://salesiana.dossiersoluciones.com/handle/123456789/145952

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.2089
 http://arxiv.org/abs/0801.2089

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arXiv