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New examples of groups acting on real trees

New examples of groups acting on real trees
New examples of groups acting on real trees
We construct the first example of a finitely generated group which has Serre's property (FA) (i.e., whenever it acts on a simplicial tree it fixes a vertex), but admits a fixed point-free action on an R-tree with finite arc stabilizers. We also give a short and elementary construction of finitely generated groups that have property (FA) but do not have (FR).
1753-8416
192-214
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d

Minasyan, Ashot (2016) New examples of groups acting on real trees. Journal of Topology, 9 (1), 192-214. (doi:10.1112/jtopol/jtv035).

Record type: Article

Abstract

We construct the first example of a finitely generated group which has Serre's property (FA) (i.e., whenever it acts on a simplicial tree it fixes a vertex), but admits a fixed point-free action on an R-tree with finite arc stabilizers. We also give a short and elementary construction of finitely generated groups that have property (FA) but do not have (FR).

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More information

Accepted/In Press date: 18 September 2015
e-pub ahead of print date: 26 November 2015
Published date: 1 March 2016
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 383002
URI: http://eprints.soton.ac.uk/id/eprint/383002
ISSN: 1753-8416
PURE UUID: 5aa3f700-dda6-4b77-94dd-2534009827c4
ORCID for Ashot Minasyan: ORCID iD orcid.org/0000-0002-4986-2352

Catalogue record

Date deposited: 09 Nov 2015 14:56
Last modified: 15 Mar 2024 03:29

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