Stabilizers of ℝ-trees with free isometric actions of FN
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Publication:3117255
DOI10.1515/jgt.2010.070zbMath1262.20031arXiv0904.1881OpenAlexW3100587964MaRDI QIDQ3117255
Publication date: 25 February 2012
Published in: jgth (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.1881
virtually cyclic subgroupsTits alternativeisometric actions\(\mathbb R\)-treesouter automorphism groups of free groupsOuter spacemetric simplicial trees
Subgroup theorems; subgroup growth (20E07) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Groups acting on trees (20E08)
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Boundaries of relative factor graphs and subgroup classification for automorphisms of free products ⋮ Spectral rigidity of automorphic orbits in free groups. ⋮ Cannon-Thurston maps for hyperbolic free group extensions ⋮ Domains of proper discontinuity on the boundary of outer space. ⋮ Commensurations of subgroups of 𝑂𝑢𝑡(𝐹_{𝑁}) ⋮ Loxodromics for the cyclic splitting complex and their centralizers ⋮ The free splitting complex of a free group, II: Loxodromic outer automorphisms ⋮ The Poisson boundary of \(\mathrm{Out}(F_N)\)
Cites Work
- Geometric intersection number and analogues of the curve complex for free groups.
- A hyperbolic \(\text{Out}(F_n)\)-complex.
- Moduli of graphs and automorphisms of free groups
- Degenerations of the hyperbolic space
- The geometry of Teichmüller space via geodesic currents
- Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
- The Gromov topology on \({\mathbb{R}}\)-trees
- Train tracks and automorphisms of free groups
- Graphs of actions on \(\mathbf R\)-trees
- The maximum order of finite groups of outer automorphisms of free groups
- Laminations, trees, and irreducible automorphisms of free groups
- Approximations of stable actions on \(\mathbb{R}\)-trees
- The topology at infinity of \(\text{Out} (F_n)\)
- The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
- Hyperbolic automorphisms of free groups
- The geometry of surface-by-free groups.
- Mapping class groups and outer automorphism groups of free groups are \(C^{*}\)-simple
- Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
- An index for counting fixed points of automorphisms of free groups
- Intersection form, laminations and currents on free groups.
- The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
- The Patterson-Sullivan embedding and minimal volume entropy for outer space.
- THE FREQUENCY SPACE OF A FREE GROUP
- ℝ-trees and laminations for free groups I: algebraic laminations
- ℝ-trees and laminations for free groups II: the dual lamination of an ℝ-tree
- ℝ-trees and laminations for free groups III: currents and dual ℝ-tree metrics
- PING-PONG AND OUTER SPACE
- Geodesic currents and length compactness for automorphisms of free groups
- IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE
- The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility