Groups acting on trees with almost prescribed local action
(2016) Commentarii Mathematici Helvetici — Vol. 91, n° 2, p. 253-293 (2016)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- We investigate a family of groups acting on a regular tree, defined by prescribing the local action almost everywhere. We study lattices in these groups and give examples of compactly generated simple groups of finite asymptotic dimension (actually one) not containing lattices. We also obtain examples of simple groups with simple lattices, and we prove the existence of (infinitely many) finitely generated simple groups of asymptotic dimension one. We also prove various properties of these groups, including the existence of a proper action on a CAT(0) cube complex.
- Affiliations
Université Paris-Sud 11 Laboratoire de Mathématiques
Citations
Le Boudec, A. (2016). Groups acting on trees with almost prescribed local action. Commentarii Mathematici Helvetici, 91(2), 253-293. https://doi.org/10.4171/cmh/385 (Original work published 2016)