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arXiv · 2603.06139

Groups acting on products of locally finite trees

J. O. Button
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Abstract

We examine the question of which finitely generated groups act properly on a finite product of locally finite simplicial trees and present evidence in favour of hyperbolic surface groups having such an action. We also give a completely explicit embedding of the genus 2 closed hyperbolic surface group in $SL_2(\mathbb{F}_p(x,y))$ for any prime $p$.

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J. O. Button. 2026-03-06. Groups acting on products of locally finite trees. https://arxiv.org/abs/2603.06139

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