Let be a non-cocompact lattice on a locally finite regular right-angled building . We prove that if has a strict fundamental domain then is not finitely generated. We use the separation properties of subcomplexes of called tree-walls.
"Infinite generation of non-cocompact lattices on right-angled buildings." Algebr. Geom. Topol. 11 (2) 929 - 938, 2011. https://doi.org/10.2140/agt.2011.11.929