Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇})

DOI10.1090/memo/1280OpenAlexW3019587989MaRDI QIDQ5113918

Michael Handel, Lee Mosher

Publication date: 19 June 2020

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

Full work available at URL: https://doi.org/10.1090/memo/1280

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (13)

Applications of weak attraction theory in \(\mathrm {Out}(\mathbb {F}_N) \) ⋮ Boundaries of relative factor graphs and subgroup classification for automorphisms of free products ⋮ Polynomial growth and subgroups of \(\mathrm{Out}(F_N)\) ⋮ North-South type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents ⋮ Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇}) ⋮ Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of 𝖮𝗎𝗍(𝖥_{𝗇}) ⋮ Virtually abelian subgroups of \(\mathrm{IA}_n(\mathbb{Z}/3)\) are abelian ⋮ Atoroidal dynamics of subgroups of Out(FN) ⋮ On the geometry of Outer space ⋮ Generalized north-south dynamics on the space of geodesic currents ⋮ The visual boundary of hyperbolic free-by-cyclic groups ⋮ Regluing graphs of free groups ⋮ Relative hyperbolicity of free-by-cyclic extensions

Cites Work

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• The free splitting complex of a free group. I: Hyperbolicity.
• The recognition theorem for \(\text{Out}(F_n)\).
• Free actions of surface groups on \({\mathbb{R}}\)-trees
• Abelian subgroups of \(\text{Out}(F_n)\).
• New proofs of some results of Nielsen
• Finite groups of automorphisms of free groups
• Automorphisms of free groups have finitely generated fixed point sets
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Über Homoeomorphismen \(n\)-dimensionaler Henkelkoerper und endliche Erweiterungen von Schottky-Gruppen
• Geodesic laminations from Nielsen's viewpoint
• Train tracks and automorphisms of free groups
• Superrigidity and mapping class groups
• The conjugacy problem for Dehn twist 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
• Simultaneous construction of hyperbolic isometries
• Bounded cohomology of subgroups of mapping class groups
• Fixed points of automorphisms of free groups
• Solvable subgroups of \(\text{Out}(F_n)\) are virtually Abelian.
• Über Automorphismen von Fundamentalgruppen berandeter Flächen
• Automorphisms of free groups and outer space
• 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
• The Nielsen-Thurston classification and automorphisms of a free group. I
• Lipschitz retraction and distortion for subgroups of \(\mathrm{Out}(F_n)\).
• An index for counting fixed points of automorphisms of free groups
• Uniform uniform exponential growth of subgroups of the mapping class group
• Continued fractions and the origins of the Perron-Frobenius theorem
• The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
• Limit groups and groups acting freely on \(\mathbb{R}^n\)-trees.
• Boundaries and automorphisms of hierarchically hyperbolic spaces
• The centre of groups with one defining relator
• A short proof of Handel and Mosher's alternative for subgroups of \(\mathrm{Out}(F_N)\).
• Thurston's Work on Surfaces (MN-48)
• Axes in outer space
• Actions of higher-rank lattices on free groups
• Automorphisms of free groups have asymptotically periodic dynamics
• A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups
• Group Actions On R-Trees
• Sur les automorphismes extérieurs des groupes hyperboliques
• The rank of actions on ${R}$-trees
• Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇})
• The free splitting complex of a free group, II: Loxodromic outer automorphisms

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