Groups acting on products of locally finite trees
Keywords:
group, surface, tree, locally finiteAbstract
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 $S L_2\left(\mathbb{F}_p(x, y)\right)$ for any prime $p$.
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