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

Thomas, A. and Wortman, K. (2011) Infinite generation of non-cocompact lattices on right-angled buildings. Algebraic and Geometric Topology, 11(2), pp. 929-938. (doi: 10.2140/agt.2011.11.929)

Full text not currently available from Enlighten.

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Thomas, Dr Anne
Authors: Thomas, A., and Wortman, K.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Algebraic and Geometric Topology
ISSN:1472-2747
ISSN (Online):1472-2739

University Staff: Request a correction | Enlighten Editors: Update this record