A condition that prevents groups from acting nontrivially on trees

Details A condition that prevents groups from acting nontrivially on trees A condition that prevents groups from acting nontrivially on trees

2009-04-08

arxiv.org/abs/0904.1384v1

Geom. Topol. Monogr. 14 (2008) 129-133

Mathematics

Group Theory

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

Scientific paper

10.2140/gtm.2008.14.129

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.

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