2005/02/12 by Anne Thomas, Thomas, Anne
Mathematics · #20E42 #22D05 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E42 #msc:22D05
paper · pdf · doi:10.48550/arxiv.math/0502258
10 pages; main theorem extended to dimensions \geq 2; corollaries no longer require action without inversions
arxiv created 2005/08/20 · arxiv updated 2009/12/01
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.