Covolumes of uniform lattices acting on polyhedral complexes

Anne Thomas

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Covolumes of uniform lattices acting on polyhedral complexes

Anne Thomas

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Abstract

Let X be a polyhedral complex with finitely many isometry classes of links. We establish a restriction on the covolumes of uniform lattices acting on X. When X is two-dimensional and has all links isometric to 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.

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Anne Thomas. 2005-08-20. Covolumes of uniform lattices acting on polyhedral complexes. https://arxiv.org/abs/math/0502258

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