Stretching factors, metrics and train tracks for free products

zbMath1382.20031arXiv1312.4172MaRDI QIDQ512471

Stefano Francaviglia, Armando Martino

Publication date: 27 February 2017

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4172

zbMATH Keywords

Lipschitz metricouter spacefree product of groupsirreducible automorphismstrain tracks

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Related Items (14)

Boundaries of relative factor graphs and subgroup classification for automorphisms of free products ⋮ Boundary amenability of $Out(F_N)$ ⋮ Relative hyperbolicity for automorphisms of free products and free groups ⋮ Cocycle superrigidity from higher rank lattices to \(\mathrm{Out}{(F_N)}\) ⋮ Relative hyperbolicity of hyperbolic-by-cyclic groups ⋮ Lipschitz metric isometries between outer spaces of virtually free groups ⋮ Train track maps on graphs of groups ⋮ The dynamics and geometry of free group endomorphisms ⋮ Asymmetry of outer space of a free product ⋮ The minimally displaced set of an irreducible automorphism of \(F_N\) is co-compact ⋮ The minimally displaced set of an irreducible automorphism is locally finite ⋮ Displacements of automorphisms of free groups I: Displacement functions, minpoints and train tracks ⋮ Displacements of automorphisms of free groups II: Connectivity of level sets and decision problems ⋮ The Lipschitz metric on deformation spaces of \(G\)-trees

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