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ISSN (electronic): 1464-8997
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A condition that prevents groups from acting nontrivially on trees

Martin R Bridson

Geometry & Topology Monographs 14 (2008) 129–133

DOI: 10.2140/gtm.2008.14.129

arXiv: 0904.1384

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(Fn) and SL(n,Z) when n≥ 3.

Dedicated to the memory of Heiner Zieschang

Keywords

property FA, automorphisms of free groups, R–trees

Mathematical Subject Classification

Primary: 20E08, 20F65

References
Publication

Received: 20 October 2006
Revised: 26 January 2007
Published: 29 April 2008

Authors
Martin R Bridson
Mathematical Institute
24-29 St Giles'
Oxford OX1 3LB
UK
http://www.maths.ox.ac.uk/~bridson