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

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

2010-09-22

arxiv.org/abs/1009.4235v2

Mathematics

Group Theory

11 pages, one figure. v2: new example and references in the introduction. To appear in Algebr. Geom. Top

Scientific paper

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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