Leighton's theorem : extensions, limitations and quasitrees

DOI10.2140/agt.2022.22.881zbMath1494.05092arXiv2009.04305OpenAlexW3083817381MaRDI QIDQ2163650

Sam Shepherd, Martin R. Bridson

Publication date: 10 August 2022

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

Full work available at URL: https://arxiv.org/abs/2009.04305

zbMATH Keywords

covering spacesLeighton's theoremquasitrees

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

Commensurability of lattices in right-angled buildings

Cites Work

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• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
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• The triviality problem for profinite completions
• Finite common coverings of graphs
• Quasi-actions on trees. I: Bounded valence
• Commensurability of groups quasi-isometric to RAAGs
• Cubulating spaces with walls.
• Agol's theorem on hyperbolic cubulations
• Absolute profinite rigidity and hyperbolic geometry
• Panel collapse and its applications
• Special cube complexes
• Geometric group theory and 3-manifolds hand in hand: the fulfillment of Thurston’s vision
• Quasi-isometric classification of non-geometric 3-manifold groups
• Uniform Tree Lattices
• FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
• Finitely presented simple groups and products of trees
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Revisiting Leighton’s theorem with the Haar measure
• Finite and Infinite Quotients of Discrete and Indiscrete Groups

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