The Lipschitz metric on deformation spaces of \(G\)-trees

DOI10.2140/agt.2015.15.987zbMath1364.20029arXiv1312.1829OpenAlexW1918536908MaRDI QIDQ2346730

Sebastian Meinert

Publication date: 3 June 2015

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1829

zbMATH Keywords

outer automorphismsvirtually free groupsLipschitz metricgeneralized Baumslag-Solitar groupstrain tracksdeformation spacesG-trees

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Groups acting on trees (20E08)

Related Items

Lipschitz metric isometries between outer spaces of virtually free groups ⋮ Train track maps on graphs of groups ⋮ Bijections of geodesic lamination space preserving left Hausdorff convergence ⋮ Loxodromics for the cyclic splitting complex and their centralizers ⋮ The minimally displaced set of an irreducible automorphism is locally finite ⋮ Examples of groups whose automorphisms have exotic growth ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stretching factors, metrics and train tracks for free products
• Metric properties of outer space.
• Asymmetry of outer space.
• Covering theory for graphs of groups
• Splittings of generalized Baumslag-Solitar groups.
• On the automorphism group of generalized Baumslag-Solitar groups.
• A fixed point theorem for deformation spaces of \(G\)-trees.
• Spectral rigidity for primitive elements of \(F_N\).
• Moduli of graphs and automorphisms of free groups
• The Gromov topology on \({\mathbb{R}}\)-trees
• Train tracks and automorphisms of free groups
• Deformation and rigidity of simplicial group actions on trees.
• Deformation spaces of trees.
• Contractibility of deformation spaces of \(G\)-trees.
• Bounding the complexity of simplicial group actions on trees
• A Bers-like proof of the existence of train tracks for free group automorphisms
• Fixed point properties in the space of marked groups
• Engulfing and Finitely Generated Groups
• Group Actions On R-Trees
• The outer space of a free product
• Hyperbolic manifolds and discrete groups