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arXiv:math/0310065 [math.GR]AbstractReferencesReviewsResources

Quasi-actions on trees and Property (QFA)

Jason Fox Manning

Published 2003-10-06, updated 2006-01-13Version 4

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.

Comments: 23 pages, Appendix on "Boundedly generated groups with pseudocharacter(s)" by Nicolas Monod and Bertrand R\'emy. References have been updated. Some statements in Section 4 have been modified
Categories: math.GR, math.GT
Subjects: 20F65, 05C05
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