Trees, quaternion algebras and modular curves
classification
🧮 math.NT
math.AGmath.GR
keywords
algebrasquaternionactionapplicationsarithmeticbruhat-titscertaincurves
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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.
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