English

A condition that prevents groups from acting nontrivially on trees

Group Theory 2009-04-09 v1

Abstract

We 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.

Cite

@article{arxiv.0904.1384,
  title  = {A condition that prevents groups from acting nontrivially on trees},
  author = {Martin R Bridson},
  journal= {arXiv preprint arXiv:0904.1384},
  year   = {2009}
}

Comments

This is the version published by Geometry & Topology Monographs on 29 April 2008

R2 v1 2026-06-21T12:49:33.847Z