New examples of groups acting on real trees
Group Theory
2017-05-17 v4
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 -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 (F).
Keywords
Cite
@article{arxiv.1403.1149,
title = {New examples of groups acting on real trees},
author = {Ashot Minasyan},
journal= {arXiv preprint arXiv:1403.1149},
year = {2017}
}
Comments
v4: 22 pages, revised following referee's suggestions. This version of the paper has been accepted by the Journal of Topology