Quasi-actions on trees and Property (QFA)

Details Quasi-actions on trees and Property (QFA) Quasi-actions on trees and Property (QFA)

2003-10-06

arxiv.org/abs/math/0310065v4

Mathematics

Group Theory

23 pages, Appendix on "Boundedly generated groups with pseudocharacter(s)" by Nicolas Monod and Bertrand R\'emy. References ha

Scientific paper

We prove some general results about quasi-actions on trees and define
Property (QFA), which is analogous to Serre's Property (FA), but in the coarse
setting. This property is shown to hold for a class of groups, including
$SL(n,\Z)$ for $n\geq 3$. We also give a way of thinking about Property (QFA)
by breaking it down into statements about particular classes of trees.

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