Geometry & Topology
- Geom. Topol.
- Volume 9, Number 2 (2005), 1147-1185.
Geometry of pseudocharacters
If is a group, a pseudocharacter is a function which is “almost” a homomorphism. If admits a nontrivial pseudocharacter , we define the space of ends of relative to and show that if the space of ends is complicated enough, then contains a nonabelian free group. We also construct a quasi-action by on a tree whose space of ends contains the space of ends of relative to . This construction gives rise to examples of “exotic” quasi-actions on trees.
Geom. Topol., Volume 9, Number 2 (2005), 1147-1185.
Received: 22 August 2003
Revised: 9 March 2005
Accepted: 8 June 2005
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Manning, Jason Fox. Geometry of pseudocharacters. Geom. Topol. 9 (2005), no. 2, 1147--1185. doi:10.2140/gt.2005.9.1147. https://projecteuclid.org/euclid.gt/1513799613