2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99884We 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.23 pages, Appendix on "Boundedly generated groups with pseudocharacter(s)" by Nicolas Monod and Bertrand Rémy. References have been updated. Some statements in Section 4 have been modifiedGroup TheoryGeometric Topology20F65, 05C05text