An (FA)-group that is not (FR)
Group Theory
2013-06-19 v2 Geometric Topology
Abstract
We construct examples of finitely generated groups L that have non-trivial actions on -trees but which cannot act, without fixing a vertex, on any simplicial tree. Moreover, any finitely presented group mapping onto L does have a fixed point-free action on some simplicial tree.
Keywords
Cite
@article{arxiv.1203.3317,
title = {An (FA)-group that is not (FR)},
author = {Martin J. Dunwoody and Ashot Minasyan},
journal= {arXiv preprint arXiv:1203.3317},
year = {2013}
}
Comments
This paper has been withdrawn by the authors. The paper has been withdrawn as its arguments require further verification