Trees, quaternion algebras and modular curves

Details Trees, quaternion algebras and modular curves Trees, quaternion algebras and modular curves

2009-01-23

arxiv.org/abs/0901.3735v1

Mathematics

Number Theory

14 pages

Scientific paper

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.

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