Published February 2006
| Published
Journal Article
Open
Quasi-Actions on Trees and Property (QFA)
- Creators
- Manning, J. F.
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, Z) for n ≥ 3. We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees.
Additional Information
© 2006 London Mathematical Society. Received 27 February 2004; revised 11 August 2004. Thanks are due to my doctoral advisor Daryl Cooper for asking me (more than once!) whether SL(3, Z) could quasi-act nontrivially on a tree. Thanks also go to the Oxford Mathematical Institute for hospitality while part of this work was being done. Many people have had helpful things to say to me about these problems, including Nicolas Monod, Kevin Whyte, and Hee Oh. This work was partially supported by an NSF Postdoctoral Research Fellowship and by a UCSB Graduate Division Dissertation Fellowship. Some of these results have been worked out independently but not published by Lee Mosher, Michah Sageev and Kevin Whyte.Attached Files
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Additional details
- Eprint ID
- 24419
- Resolver ID
- CaltechAUTHORS:20110714-093902147
- NSF Postdoctoral Research Fellowship
- UCSB Graduate Division Dissertation Fellowship
- Created
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2011-10-26Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field