PING-PONG AND OUTER SPACE

DOI10.1142/S1793525310000318zbMath1211.20027arXiv0902.4017MaRDI QIDQ3578457

Martin Lustig, Ilya Kapovich

Publication date: 20 July 2010

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4017

zbMATH Keywords

dynamicsouter automorphism groupsfree groupsgeodesic currentsouter spaceiwip automorphismsirreducible outer automorphisms

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) General geometric structures on low-dimensional manifolds (57M50) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items

Applications of weak attraction theory in \(\mathrm {Out}(\mathbb {F}_N) \), Subset currents on free groups., Hyperbolic extensions of free groups, Limits of conjugacy classes under iterates of hyperbolic elements of \(\operatorname{Out}(\mathbb{F})\), A note on subfactor projections., Lines of minima in outer space, Atoroidal dynamics of subgroups of Out(FN), SIEVE METHODS IN GROUP THEORY III: Aut(F_n), Cannon-Thurston maps for hyperbolic free group extensions, Algorithmic detectability of iwip automorphisms, Detecting Fully Irreducible Automorphisms: A Polynomial Time Algorithm, Twisting out fully irreducible automorphisms., Domains of proper discontinuity on the boundary of outer space., Hyperbolic extensions of free groups from atoroidal ping-pong, Generalized north-south dynamics on the space of geodesic currents, North–South dynamics of hyperbolic free group automorphisms on the space of currents, Geometric intersection number and analogues of the curve complex for free groups., Stabilizers of ℝ-trees with free isometric actions of F_N , Dynamics of hyperbolic iwips

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