Automorphisms of hyperbolic groups and graphs of groups
| dc.creator | Levitt, Gilbert | |
| dc.date | 2002-12-05 | |
| dc.date.accessioned | 2026-07-07T06:22:20Z | |
| dc.date.available | 2026-07-07T06:22:20Z | |
| dc.description | Using the canonical JSJ splitting, we describe the outer automorphism group $\Out(G)$ of a one-ended word hyperbolic group $G$. In particular, we discuss to what extent $\Out(G)$ is virtually a direct product of mapping class groups and a free abelian group, and we determine for which groups $\Out(G)$ is infinite. We also show that there are only finitely many conjugacy classes of torsion elements in $\Out(G)$, for $G$ any torsion-free hyperbolic group. More generally, let $Γ$ be a finite graph of groups decomposition of an arbitrary group $G$ such that edge groups $G_e$ are rigid (i.e\. $\Out(G_e)$ is finite). We describe the group of automorphisms of $G$ preserving $Γ$, by comparing it to direct products of suitably defined mapping class groups of vertex groups. | |
| dc.description | 20 pages. Pre'publication su Laboratoire Emile Picard n.252. See also http://picard.ups-tlse.fr | |
| dc.identifier | https://arxiv.org/abs/math/0212088 | |
| dc.identifier | http://arxiv.org/abs/math/0212088 | |
| dc.identifier | Geometriae Dedicata 114 (2005) 49-70 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95880 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.title | Automorphisms of hyperbolic groups and graphs of groups | |
| dc.type | text |