Atoroidal dynamics of subgroups of Out(FN)

DOI10.1112/JLMS.12339zbMath1485.20094arXiv1901.02071OpenAlexW2909977811MaRDI QIDQ5141881

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Publication date: 22 December 2020

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

Full work available at URL: https://arxiv.org/abs/1901.02071

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (3)

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

Cites Work

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• The free splitting complex of a free group. I: Hyperbolicity.
• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• The recognition theorem for \(\text{Out}(F_n)\).
• A combination theorem for negatively curved groups
• Moduli of graphs and automorphisms of free groups
• Automorphisms of free groups have finitely generated fixed point sets
• 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
• Hyperbolic automorphisms of free groups
• Simultaneous construction of hyperbolic isometries
• Intersection form, laminations and currents on free groups.
• Hyperbolic extensions of free groups from atoroidal ping-pong
• Hyperbolicity of the complex of free factors.
• Generalized north-south dynamics on the space of geodesic currents
• A short proof of Handel and Mosher's alternative for subgroups of \(\mathrm{Out}(F_N)\).
• PING-PONG AND OUTER SPACE
• On the geometry and dynamics of diffeomorphisms of surfaces
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• North–South dynamics of hyperbolic free group automorphisms on the space of currents
• Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇})
• Dynamics of hyperbolic iwips
• The co‐surface graph and the geometry of hyperbolic free group extensions

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