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arXiv:math/0508385 [math.GR]AbstractReferencesReviewsResources

Lattices acting on right-angled buildings

Anne Thomas

Published 2005-08-20, updated 2009-04-21Version 4

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.

Comments: This is the version published by Algebraic & Geometric Topology on 7 September 2006
Journal: Algebr. Geom. Topol. 6 (2006) 1215-1238
Categories: math.GR
Subjects: 22D05, 20E42
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