2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74168Let 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.10 pages; main theorem extended to dimensions \geq 2; corollaries no longer require action without inversionsGroup Theory22D05, 20E42Covolumes of uniform lattices acting on polyhedral complexestext