Geometry & Topology
- Geom. Topol.
- Volume 13, Number 5 (2009), 3021-3054.
Free groups in lattices
Let be any locally compact unimodular metrizable group. The main result of this paper, roughly stated, is that if is any finitely generated free group and any lattice, then up to a small perturbation and passing to a finite index subgroup, is a subgroup of . If is noncompact then we require additional hypotheses that include .
Geom. Topol., Volume 13, Number 5 (2009), 3021-3054.
Received: 27 May 2007
Revised: 26 August 2009
Accepted: 17 August 2009
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20E07: Subgroup theorems; subgroup growth
Secondary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx] 20F67: Hyperbolic groups and nonpositively curved groups 22D40: Ergodic theory on groups [See also 28Dxx] 20E05: Free nonabelian groups
Bowen, Lewis. Free groups in lattices. Geom. Topol. 13 (2009), no. 5, 3021--3054. doi:10.2140/gt.2009.13.3021. https://projecteuclid.org/euclid.gt/1513800326