Assouad-Nagata dimension of finitely generated \(C^\prime(\frac{1}{6})\) groups

DOI10.1016/j.topol.2021.107634zbMath1496.20071arXiv1909.06646OpenAlexW3135655110MaRDI QIDQ2042091

Levi Sledd

Publication date: 28 July 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.06646

zbMATH Keywords

geodesicAssouad-Nagata dimensionasymptotic dimensiontrianglesfinitely generated groupcombingsmall cancellationvan Kampen diagram\(C^\prime(\frac{1}{6})\)infinitely presented group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Dimension theory in general topology (54F45)

Related Items (3)

Assouad-Nagata dimension and gap for ordered metric spaces ⋮ Asymptotic dimension of graphs of groups and one-relator groups ⋮ Asymptotic and Assouad–Nagata dimension of finitely generated groups and their subgroups

Cites Work

• Asymptotic dimension
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Combinatorial group theory.
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• Tight geodesics in the curve complex
• A Hurewicz theorem for the Assouad-Nagata dimension
• Asymptotic dimension of finitely presented groups
• Assouad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics
• Hyperbolic groups have finite asymptotic dimension
• Dimensions of locally and asymptotically self-similar spaces
• The asymptotic dimension of a curve graph is finite
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