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2011 Infinite generation of non-cocompact lattices on right-angled buildings
Anne Thomas, Kevin Wortman
Algebr. Geom. Topol. 11(2): 929-938 (2011). DOI: 10.2140/agt.2011.11.929

Abstract

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

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Anne Thomas. Kevin Wortman. "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

Information

Received: 21 September 2010; Revised: 6 January 2011; Accepted: 18 January 2011; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1266.20043
MathSciNet: MR2782548
Digital Object Identifier: 10.2140/agt.2011.11.929

Subjects:
Primary: 20E42, 20F05
Secondary: 20F55, 51E24, 57M07

Rights: Copyright © 2011 Mathematical Sciences Publishers

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