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 $SL(n,\Z)$ for $n\geq 3$. We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees.
arXiv Mathematics e-prints
- Pub Date:
- October 2003
- Mathematics - Group Theory;
- Mathematics - Geometric Topology;
- 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