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QUASI-ACTIONS ON TREES AND PROPERTY (QFA)

Published online by Cambridge University Press:  22 February 2006

J. F. MANNING
J. F. MANNING
Affiliation:
Mathematics Department, MC253-37, California Institute of Technology, Pasadena, CA 91125, USAmanning@caltech.edu
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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$(n,\mathbb{Z})$ 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.

Keywords

20F65 (primary)20E0853C2322E40 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 84 - 108
Copyright
The London Mathematical Society 2006

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