{ "id": "math/0310065", "version": "v4", "published": "2003-10-06T07:31:53.000Z", "updated": "2006-01-13T08:36:57.000Z", "title": "Quasi-actions on trees and Property (QFA)", "authors": [ "Jason Fox Manning" ], "comment": "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" ], "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 $n\\geq 3$. We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees.", "revisions": [ { "version": "v4", "updated": "2006-01-13T08:36:57.000Z" } ], "analyses": { "subjects": [ "20F65", "05C05" ], "keywords": [ "quasi-actions", "general results", "define property", "serres property" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....10065F" } } }