Relative hyperbolicity for automorphisms of free products and free groups

DOI10.1142/S1793525321500011MaRDI QIDQ5072109

François Dahmani, Ruoyu Li

Publication date: 25 April 2022

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

Full work available at URL: https://arxiv.org/abs/1901.06760

zbMATH Keywords

semi-direct productsrelatively hyperbolic groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (3)

The symmetries of the outer space of a universal Coxeter group ⋮ Relative hyperbolicity of hyperbolic-by-cyclic groups ⋮ A remark on thickness of free-by-cyclic groups

Cites Work

• Projections and relative hyperbolicity.
• Stretching factors, metrics and train tracks for free products
• A combination theorem for strong relative hyperbolicity.
• Relatively hyperbolic groups: geometry and quasi-isometric invariance.
• The isomorphism problem for toral relatively hyperbolic groups.
• Some general algorithms. I: Arithmetic groups
• Train tracks and automorphisms of free groups
• Laminations, trees, and irreducible automorphisms of free groups
• Combination of convergence groups.
• Hyperbolic automorphisms of free groups
• The boundary of the outer space of a free product
• Deciding isomorphy using Dehn fillings, the splitting case
• An index for counting fixed points of automorphisms of free groups
• Height, graded relative hyperbolicity and quasiconvexity
• On suspensions, and conjugacy of a few more automorphisms of free groups
• Splittings and automorphisms of relatively hyperbolic groups
• Growth and order of automorphisms of free groups and free Burnside groups
• Peripheral structures of relatively hyperbolic groups.
• Counting growth types of automorphisms of free groups.
• On suspensions and conjugacy of hyperbolic automorphisms
• Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings
• RELATIVELY HYPERBOLIC GROUPS
• Geodesics in Trees of Hyperbolic and Relatively Hyperbolic Spaces
• JSJ decompositions of groups
• Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groups
• A Bers-like proof of the existence of train tracks for free group automorphisms
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• The quadratic isoperimetric inequality for mapping tori of free group automorphisms
• The rank of actions on ${R}$-trees
• The outer space of a free product

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