Geodesic
Lattices acting on right-angled buildings
Thomas, Anne1
1Department of Mathematics, University of Chicago, 5734 South University Ave, Chicago IL 60637, USA
Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1215-1238
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Let X be a right-angled building. We show that the lattices in Aut(X) share many properties with tree lattices. For example, we characterise the set of covolumes of uniform and of nonuniform lattices in Aut(X), and show that the group Aut(X) admits an infinite ascending tower of uniform and of nonuniform lattices. These results are proved by constructing a functor from graphs of groups to complexes of groups.

DOI : 10.2140/agt.2006.6.1215
Keywords: lattice, polyhedral complex, right-angled building

Thomas, Anne  1

1 Department of Mathematics, University of Chicago, 5734 South University Ave, Chicago IL 60637, USA 
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Thomas, Anne. Lattices acting on right-angled buildings. Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1215-1238. doi: 10.2140/agt.2006.6.1215

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