Trees, quaternion algebras and modular curves

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We study the action on the Bruhat-Tits tree of unit groups of maximal orders in certain quaternion algebras over $\mathbb{F}_q(T)$ and discuss applications to arithmetic geometry and group theory.
14 pages

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Number Theory, Algebraic Geometry, Group Theory, 11F06 (Primary); 11G18, 20E08 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/217252

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.3735
 http://arxiv.org/abs/0901.3735

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arXiv