IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE
From MaRDI portal
Publication:4437539
DOI10.1017/S1474748003000033zbMath1034.20038OpenAlexW1971745120MaRDI QIDQ4437539
Publication date: 2 December 2003
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1474748003000033
Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Groups acting on trees (20E08)
Related Items
Loxodromic elements for the relative free factor complex ⋮ Mapping class groups and outer automorphism groups of free groups are \(C^{*}\)-simple ⋮ On purely loxodromic actions ⋮ ℝ-trees, dual laminations and compact systems of partial isometries ⋮ Fully irreducible automorphisms of the free group via Dehn twisting in \(\sharp_k(S^2\times S^1)\) ⋮ Poisson boundary of groups acting on \(\mathbb R\)-trees. ⋮ Subset currents on free groups. ⋮ A train track directed random walk on Out(Fr) ⋮ Orientable maps and polynomial invariants of free-by-cyclic groups ⋮ Out(F3) Index Realization ⋮ North-South type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents ⋮ Free group automorphisms with parabolic boundary orbits. ⋮ Connectivity of the Gromov boundary of the free factor complex ⋮ On indecomposable trees in the boundary of outer space. ⋮ Lines of minima in outer space ⋮ Irreducible nonsurjective endomorphisms of Fn are hyperbolic ⋮ Strongly contracting geodesics in outer space. ⋮ Construction of the compact core of a real tree by tree substitution ⋮ Algorithmic detectability of iwip automorphisms ⋮ Cannon-Thurston fibers for iwip automorphisms of FN ⋮ Detecting Fully Irreducible Automorphisms: A Polynomial Time Algorithm ⋮ Twisting out fully irreducible automorphisms. ⋮ Intersection form, laminations and currents on free groups. ⋮ Domains of proper discontinuity on the boundary of outer space. ⋮ Hyperbolic extensions of free groups from atoroidal ping-pong ⋮ Algebraic laminations for free products and arational trees ⋮ Ideal Whitehead graphs in Out(Fr) III: Achieved graphs in rank 3 ⋮ Conical limit points and the Cannon-Thurston map ⋮ The metric completion of outer space ⋮ Generalized north-south dynamics on the space of geodesic currents ⋮ Ergodic currents dual to a real tree ⋮ North–South dynamics of hyperbolic free group automorphisms on the space of currents ⋮ Commensurations of subgroups of 𝑂𝑢𝑡(𝐹_{𝑁}) ⋮ Geometric intersection number and analogues of the curve complex for free groups. ⋮ The visual boundary of hyperbolic free-by-cyclic groups ⋮ Axes in outer space ⋮ Stabilizers of ℝ-trees with free isometric actions of FN ⋮ Dynamics of hyperbolic iwips ⋮ Parageometric outer automorphisms of free groups ⋮ The expansion factors of an outer automorphism and its inverse ⋮ Random outer automorphisms of free groups: Attracting trees and their singularity structures
