Quasi-actions on trees and Property (QFA)
Abstract
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,) for n≥ 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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