A short proof of Handel and Mosher's alternative for subgroups of \(\mathrm{Out}(F_N)\).

DOI10.4171/GGD/361zbMath1346.20048arXiv1404.4626MaRDI QIDQ2630770

Camille Horbez

Publication date: 22 July 2016

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4626

zbMATH Keywords

finitely generated subgroupsouter automorphism groups of free groupsfully irreducible automorphismssubgroup classification\(\mathrm{Out}(F_N)\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

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Boundaries of relative factor graphs and subgroup classification for automorphisms of free products ⋮ Boundaries and automorphisms of hierarchically hyperbolic spaces ⋮ Simultaneous construction of hyperbolic isometries ⋮ Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇}) ⋮ Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of 𝖮𝗎𝗍(𝖥_{𝗇}) ⋮ Distortion and Tits alternative in smooth mapping class groups ⋮ Atoroidal dynamics of subgroups of Out(FN) ⋮ Detecting Fully Irreducible Automorphisms: A Polynomial Time Algorithm ⋮ Hyperbolic extensions of free groups from atoroidal ping-pong ⋮ The Bishop–Jones relation and Hausdorff geometry of convex-cobounded limit sets in infinite-dimensional hyperbolic space ⋮ The Poisson boundary of \(\mathrm{Out}(F_N)\)

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