Groups acting on products of locally finite trees

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 $S{L}_2({\mathbb{F}}_p(x,y))$ for any prime $p$.

arXiv commentPost publication Brody pointed out a sign error in Theorem 5.4. Thanks a lot. arXiv admin note: substantial text overlap with arXiv:1910.04614