Open Access
Translator Disclaimer
2006 Lattices acting on right-angled buildings
Anne Thomas
Algebr. Geom. Topol. 6(3): 1215-1238 (2006). DOI: 10.2140/agt.2006.6.1215

Abstract

Let X be a right-angled building. We show that the lattices in Aut(X) share many properties with tree lattices. For example, we characterise the set of covolumes of uniform and of nonuniform lattices in Aut(X), and show that the group Aut(X) admits an infinite ascending tower of uniform and of nonuniform lattices. These results are proved by constructing a functor from graphs of groups to complexes of groups.

Citation

Download Citation

Anne Thomas. "Lattices acting on right-angled buildings." Algebr. Geom. Topol. 6 (3) 1215 - 1238, 2006. https://doi.org/10.2140/agt.2006.6.1215

Information

Received: 3 March 2006; Revised: 29 June 2006; Accepted: 30 June 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1128.22002
MathSciNet: MR2253444
Digital Object Identifier: 10.2140/agt.2006.6.1215

Subjects:
Primary: 22D05
Secondary: 20E42

Rights: Copyright © 2006 Mathematical Sciences Publishers

JOURNAL ARTICLE
24 PAGES


SHARE
Vol.6 • No. 3 • 2006
MSP
Back to Top