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).
192-214
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
1 March 2016
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Minasyan, Ashot
(2016)
New examples of groups acting on real trees.
Journal of Topology, 9 (1), .
(doi:10.1112/jtopol/jtv035).
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).
Text
new_ex_12.pdf
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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
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Date deposited: 09 Nov 2015 14:56
Last modified: 15 Mar 2024 03:29
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