The free splitting complex of a free group, II: Loxodromic outer automorphisms

DOI10.1090/tran/7698OpenAlexW2963428246WikidataQ128739290 ScholiaQ128739290MaRDI QIDQ5234482

Michael Handel, Lee Mosher

Publication date: 26 September 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1886

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (7)

Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇}) ⋮ Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of 𝖮𝗎𝗍(𝖥_{𝗇}) ⋮ Automorphisms of graphs of cyclic splittings of free groups. ⋮ The minimally displaced set of an irreducible automorphism is locally finite ⋮ Linear progress with exponential decay in weakly hyperbolic groups ⋮ Displacements of automorphisms of free groups I: Displacement functions, minpoints and train tracks ⋮ Displacements of automorphisms of free groups II: Connectivity of level sets and decision problems

Cites Work

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• Normalizers and centralizers of cyclic subgroups generated by lone axis fully irreducible outer automorphisms
• The recognition theorem for \(\text{Out}(F_n)\).
• Strongly contracting geodesics in outer space.
• Constructing group actions on quasi-trees and applications to mapping class groups
• Train tracks and automorphisms of free groups
• Laminations, trees, and irreducible automorphisms of free groups
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
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• The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
• Hyperbolicity of the complex of free factors.
• Tight geodesics in the curve complex
• Thurston's Work on Surfaces (MN-48)
• Stabilizers of ℝ-trees with free isometric actions of F_N

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