A Fixed Point Theorem for Deformation Spaces of G-trees
| dc.creator | Clay, Matt | |
| dc.date | 2005-02-11 | |
| dc.date | 2006-02-08 | |
| dc.date.accessioned | 2026-07-07T06:39:26Z | |
| dc.date.available | 2026-07-07T06:39:26Z | |
| dc.description | For a finitely generated free group F_n, of rank at least 2, any finite subgroup of Out(F_n) can be realized as a group of automorphisms of a graph with fundamental group F_n. This result, known as Out(F_n) realization, was proved by Zimmermann, Culler and Khramtsov. This theorem is comparable to Nielsen realization as proved by Kerckhoff: for a closed surface with negative Euler characteristic, any finite subgroup of the mapping class group can be realized as a group of isometries of a hyperbolic surface. Both of these theorems have restatements in terms of fixed points of actions on spaces naturally associated to them. For a nonnegative integer n we define a class of groups (GVP(n)) and prove a similar statement for their outer automorphism groups. | |
| dc.description | 5 pages shorter than original, Section 3 and Proposition 4.4 are now replaced by citing a Theorem of Dunwoody-Roller (Theorem 3.1). To appear in Commentarii Mathematici Helvetici. Previous title: A Generalization of Culler's Theorem | |
| dc.identifier | https://arxiv.org/abs/math/0502248 | |
| dc.identifier | http://arxiv.org/abs/math/0502248 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101074 | |
| dc.subject | Group Theory | |
| dc.subject | 20E08 | |
| dc.title | A Fixed Point Theorem for Deformation Spaces of G-trees | |
| dc.type | text |