Covolumes of uniform lattices acting on polyhedral complexes
Group Theory
2007-05-23 v2
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.
Cite
@article{arxiv.math/0502258,
title = {Covolumes of uniform lattices acting on polyhedral complexes},
author = {Anne Thomas},
journal= {arXiv preprint arXiv:math/0502258},
year = {2007}
}
Comments
10 pages; main theorem extended to dimensions \geq 2; corollaries no longer require action without inversions