Loxodromics for the cyclic splitting complex and their centralizers
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Publication:2305329
DOI10.2140/pjm.2019.301.107OpenAlexW2766577389WikidataQ127241478 ScholiaQ127241478MaRDI QIDQ2305329
Radhika Gupta, Derrick Wigglesworth
Publication date: 10 March 2020
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.10478
automorphism groupsfree groupscurve graphfree factor complexloxodromicfree splitting complexcyclic splitting complex
Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)
Cites Work
- Hyperbolicity of the cyclic splitting graph.
- The recognition theorem for \(\text{Out}(F_n)\).
- Automorphisms of graphs of cyclic splittings of free groups.
- Amenable hyperbolic groups
- Abelian subgroups of \(\text{Out}(F_n)\).
- Decompositions of free groups
- Moduli of graphs and automorphisms of free groups
- Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition
- Train tracks and automorphisms of free groups
- Laminations, trees, and irreducible automorphisms of free groups
- Deformation and rigidity of simplicial group actions on trees.
- The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
- Loxodromic elements for the relative free factor complex
- Geometry of the complex of curves. I: Hyperbolicity
- Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
- The Lipschitz metric on deformation spaces of \(G\)-trees
- Limit groups and groups acting freely on \(\mathbb{R}^n\)-trees.
- Hyperbolicity of the complex of free factors.
- Actions of finitely generated groups on \(\mathbb{R}\)-trees.
- JSJ-decompositions of finitely presented groups and complexes of groups.
- Bounding the complexity of simplicial group actions on trees
- Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings
- Axes in outer space
- Stabilizers of ℝ-trees with free isometric actions of FN
- JSJ decompositions of groups
- ℝ-trees and laminations for free groups II: the dual lamination of an ℝ-tree
- Group Actions On R-Trees
- Centralisers of Dehn twist automorphisms of free groups
- Decomposition of a Group with a Single Defining Relation into a Free Product
