Geodesic
Infinite generation of non-cocompact lattices on right-angled buildings
Thomas, Anne1 ; Wortman, Kevin2
1School of Mathematics and Statistics, University of Sydney, Carslaw Building F07, Sydney NSW 2006, Australia
2Department of Mathematics, University of Utah, 155 South 1400 East, Room 233, Salt Lake City UT 84112-0090, USA
Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 929-938
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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.

DOI : 10.2140/agt.2011.11.929
Classification : 20E42, 20F05, 20F55, 57M07, 51E24
Keywords: finite generation, lattice, building

Thomas, Anne  1   ; Wortman, Kevin  2

1 School of Mathematics and Statistics, University of Sydney, Carslaw Building F07, Sydney NSW 2006, Australia
2 Department of Mathematics, University of Utah, 155 South 1400 East, Room 233, Salt Lake City UT 84112-0090, USA 
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Thomas, Anne; Wortman, Kevin. Infinite generation of non-cocompact lattices on right-angled buildings. Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 929-938. doi: 10.2140/agt.2011.11.929

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