Two generalisations of Leighton's theorem (with an appendix by Giles Gardam and Daniel J. Woodhouse)

DOI10.4171/GGD/682WikidataQ114986255 ScholiaQ114986255MaRDI QIDQ2102715

Sam Shepherd

Publication date: 29 November 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

covering spacesLeighton's theorem

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Groups acting on trees (20E08) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (3)

Hierarchically hyperbolic groups and uniform exponential growth ⋮ Leighton's theorem and regular cube complexes ⋮ Commensurability of lattices in right-angled buildings

Cites Work

• Unnamed Item
• On Leighton's graph covering theorem
• Generalized Baumslag-Solitar groups: rank and finite index subgroups
• Finite common coverings of pairs of regular graphs
• Finite common coverings of graphs
• Lattices in rank one Lie groups over local fields
• Quasi-isometric rigidity for graphs of virtually free groups with two-ended edge groups
• Simple groups of automorphisms of trees determined by their actions on finite subtrees
• Quasi-isometric classification of non-geometric 3-manifold groups
• Uniform Tree Lattices
• Majoration explicite de l'ordre maximum d'un élément du groupe symétrique
• Revisiting Leighton’s theorem with the Haar measure

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