Uniform Lattices Acting on Some Hyperbolic Buildings
نویسنده
چکیده
Let X be a 2-dimensional right-angled hyperbolic building. We characterise the set of covolumes of uniform lattices in Aut(X). We also show that the group Aut(X) admits an infinite ascending tower of uniform lattices.
منابع مشابه
Covolumes of Uniform Lattices Acting on Polygonal Complexes
Let X be a polygonal complex with finitely many isometry classes of links. We establish a restriction on the covolumes of uniform lattices acting on X. When all links of X are isometric, and are either a complete bipartite graph or the building for a Chevalley group of rank 2 over a field of prime order, we obtain further restrictions on covolumes. Some of these restrictions are sharp: in [Th] ...
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