The Recognition Theorem for Out(F_n)
| dc.creator | Feighn, Mark | |
| dc.creator | Handel, Michael | |
| dc.date | 2006-12-22 | |
| dc.date | 2009-02-15 | |
| dc.date.accessioned | 2026-07-07T12:41:10Z | |
| dc.date.available | 2026-07-07T12:41:10Z | |
| dc.description | Our goal is to find dynamic invariants that completely determine elements of the outer automorphism group $\Out(F_n)$ of the free group $F_n$ of rank $n$. To avoid finite order phenomena, we do this for {\it forward rotationless} elements. This is not a serious restriction. For example, there is $K_n>0$ depending only on $n$ such that, for all $ϕ\in\Out(F_n)$, $ϕ^{K_n}$ is forward rotationless. An important part of our analysis is to show that rotationless elements are represented by particularly nice relative train track maps. | |
| dc.description | 68 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612702 | |
| dc.identifier | http://arxiv.org/abs/math/0612702 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219679 | |
| dc.subject | Group Theory | |
| dc.subject | 20F65; 20F28 | |
| dc.title | The Recognition Theorem for Out(F_n) | |
| dc.type | text |