Stabilizers of ℝ-trees with free isometric actions of FN
- 1 January 2011
- journal article
- Published by Walter de Gruyter GmbH in Journal of Group Theory
- Vol. 14 (5) , 673-694
Abstract
We prove that if T is an ℝ-tree with a minimal free isometric action of FN, then the Out(FN)-stabilizer of the projective class [T] is virtually cyclic.Keywords
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This publication has 32 references indexed in Scilit:
- A hyperbolic Out($F_n$)-complexGroups, Geometry, and Dynamics, 2009
- The Tits alternative for Out(Fn) II: A Kolchin type theoremAnnals of Mathematics, 2005
- Mapping class groups and outer automorphism groups of free groups are C∗-simpleJournal of Functional Analysis, 2004
- The topology at infinity of Out(F n )Inventiones Mathematicae, 2000
- The Tits Alternative for out(F n ) I: Dynamics of Exponentially-Growing AutomorphismsAnnals of Mathematics, 2000
- Laminations, trees, and irreducible automorphisms of free groupsGeometric and Functional Analysis, 1997
- Train Tracks and Automorphisms of Free GroupsAnnals of Mathematics, 1992
- Degenerations of the hyperbolic spaceDuke Mathematical Journal, 1988
- The geometry of Teichm ller space via geodesic currentsInventiones Mathematicae, 1988
- Bouts des Varietes Hyperboliques de Dimension 3Annals of Mathematics, 1986