A condition that prevents groups from acting nontrivially on trees

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226250We describe a simple criterion for showing that a group has Serre's property FA. By exhibiting a certain pattern of finite subgroups, we show that this criterion is satisfied by Aut(F_n) and SL(n,Z) when n>=3.This is the version published by Geometry & Topology Monographs on 29 April 2008Group Theory20E08, 20F65A condition that prevents groups from acting nontrivially on treestext