Quasi-actions on trees and Property (QFA)
Group Theory
2007-05-23 v4 Geometric Topology
Abstract
We prove some general results about quasi-actions on trees and define Property (QFA), which is analogous to Serre's Property (FA), but in the coarse setting. This property is shown to hold for a class of groups, including for . We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees.
Cite
@article{arxiv.math/0310065,
title = {Quasi-actions on trees and Property (QFA)},
author = {Jason Fox Manning},
journal= {arXiv preprint arXiv:math/0310065},
year = {2007}
}
Comments
23 pages, Appendix on "Boundedly generated groups with pseudocharacter(s)" by Nicolas Monod and Bertrand R\'emy. References have been updated. Some statements in Section 4 have been modified