Infinite generation of non-cocompact lattices on right-angled buildings
Group Theory
2014-10-01 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1009.4235,
title = {Infinite generation of non-cocompact lattices on right-angled buildings},
author = {Anne Thomas and Kevin Wortman},
journal= {arXiv preprint arXiv:1009.4235},
year = {2014}
}
Comments
11 pages, one figure. v2: new example and references in the introduction. To appear in Algebr. Geom. Top