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A condition that prevents groups from acting nontrivially
on trees
Martin R Bridson
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Geometry & Topology Monographs 14
(2008) 129–133
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Abstract
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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.
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Dedicated to the memory of Heiner
Zieschang
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Keywords
property FA, automorphisms of free
groups, R–trees
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Mathematical Subject Classification
Primary: 20E08, 20F65
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Publication
Received: 20 October 2006
Revised: 26 January 2007
Published: 29 April 2008
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