Quasi-actions on trees I. Bounded valence
| dc.creator | Mosher, Lee | |
| dc.creator | Sageev, Michah | |
| dc.creator | Whyte, Kevin | |
| dc.date | 2000-10-13 | |
| dc.date | 2004-02-23 | |
| dc.date.accessioned | 2026-07-07T04:38:01Z | |
| dc.date.available | 2026-07-07T04:38:01Z | |
| dc.description | Given a bounded valence, bushy tree T, we prove that any cobounded quasi-action of a group G on T is quasiconjugate to an action of G on another bounded valence, bushy tree T'. This theorem has many applications: quasi-isometric rigidity for fundamental groups of finite, bushy graphs of coarse PD(n) groups for each fixed n; a generalization to actions on Cantor sets of Sullivan's Theorem about uniformly quasiconformal actions on the 2-sphere; and a characterization of locally compact topological groups which contain a virtually free group as a cocompact lattice. Finally, we give the first examples of two finitely generated groups which are quasi-isometric and yet which cannot act on the same proper geodesic metric space, properly discontinuously and cocompactly by isometries. | |
| dc.description | 50 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/0010136 | |
| dc.identifier | http://arxiv.org/abs/math/0010136 | |
| dc.identifier | Ann. of Math. (2), Vol. 158 (2003), no.1, 115--164 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60122 | |
| dc.subject | Group Theory | |
| dc.title | Quasi-actions on trees I. Bounded valence | |
| dc.type | text |