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arXiv · 1009.4235

Infinite generation of non-cocompact lattices on right-angled buildings

Anne Thomas·Kevin Wortman
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Abstract

Let Γbe a non-cocompact lattice on a locally finite regular right-angled building X. We prove that if Γhas a strict fundamental domain then Γis not finitely generated. We use the separation properties of subcomplexes of X called tree-walls.

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Anne Thomas, Kevin Wortman. 2011-01-25. Infinite generation of non-cocompact lattices on right-angled buildings. https://doi.org/10.2140/agt.2011.11.929

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