Covolumes of uniform lattices acting on polyhedral complexes

Thomas, A. (2007) Covolumes of uniform lattices acting on polyhedral complexes. Bulletin of the London Mathematical Society, 39(1), pp. 103-111. (doi: 10.1112/blms/bdl018)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Thomas, Dr Anne
Authors: Thomas, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Bulletin of the London Mathematical Society
ISSN:0024-6093
ISSN (Online):1469-2120

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