Lattices acting on right-angled buildings

Details Lattices acting on right-angled buildings Lattices acting on right-angled buildings

2005-08-20

arxiv.org/abs/math/0508385v4

Algebr. Geom. Topol. 6 (2006) 1215-1238

Mathematics

Group Theory

This is the version published by Algebraic & Geometric Topology on 7 September 2006

Scientific paper

10.2140/agt.2006.6.1215

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.

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