Infinite generation of non-cocompact lattices on right-angled buildings
Anne Thomas and Kevin Wortman
Let \(\Gamma\) be a non-cocompact lattice on a locally finite regular right-angled building \(X\). We prove that if \(\Gamma\) has a strict fundamental domain then \(\Gamma\) is not finitely generated. We use the separation properties of subcomplexes of \(X\) called tree-walls.
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