Hierarchically hyperbolic groups and uniform exponential growth

DOI10.1007/s00209-023-03411-6arXiv1909.00439OpenAlexW2972254036MaRDI QIDQ6144849

Harry Petyt, Carolyn R. Abbott, Radhika Gupta, Davide Spriano, Thomas C. Ng

Publication date: 8 January 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00439

zbMATH Keywords

exponential growthTits alternativehierarchically hyperboliccubical spaces

Mathematics Subject Classification ID

Geometric group theory (20F65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

Extra-large type Artin groups are hierarchically hyperbolic

Cites Work

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• Quasi-convexity of hyperbolically embedded subgroups
• The Poisson boundary of CAT(0) cube complex groups.
• Uniform growth of groups acting on Cartan-Hadamard spaces.
• Rank rigidity for CAT(0) cube complexes.
• A gap property for the growth of closed 3-manifold groups.
• On asymptotic Assouad-Nagata dimension
• Uniform non-amenability of free Burnside groups
• Uniform growth in hyperbolic groups
• A Wilson group of non-uniformly exponential growth.
• Right-angled Artin groups are commensurable with right-angled Coxeter groups
• Geometry of the complex of curves. II: Hierarchical structure
• On uniform exponential growth for linear groups.
• Geometry of the complex of curves. I: Hyperbolicity
• Uniform growth in groups of exponential growth
• On exponential growth and uniformly exponential growth for groups.
• Further groups that do not have uniformly exponential growth.
• On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds
• Distinguished subgroups and quotients of hyperbolic groups
• On problems related to growth, entropy, and spectrum in group theory
• The geometry of the handlebody groups. II: Dehn functions
• Correction to the article ``Boundaries and automorphisms of hierarchically hyperbolic spaces
• On the joint spectral radius for isometries of non-positively curved spaces and uniform growth
• A refined combination theorem for hierarchically hyperbolic groups
• Hierarchical hyperbolicity of graph products
• Two generalisations of Leighton's theorem (with an appendix by Giles Gardam and Daniel J. Woodhouse)
• Large facing tuples and a strengthened sector lemma
• On hierarchical hyperbolicity of cubical groups
• Hyperbolicities in CAT(0) cube complexes
• Uniform uniform exponential growth of subgroups of the mapping class group
• Uniform exponential growth for CAT(0) square complexes
• Tits alternatives for graph products
• Hierarchically hyperbolic spaces. I: Curve complexes for cubical groups
• Boundaries and automorphisms of hierarchically hyperbolic spaces
• Hierarchically hyperbolic spaces. II: Combination theorems and the distance formula
• A note on spaces of asymptotic dimension one
• Tight geodesics in the curve complex
• Special cube complexes
• Acylindrical hyperbolicity of groups acting on trees
• Groups acting on CAT(0) cube complexes with uniform exponential growth
• Acylindrically hyperbolic groups
• Weak hyperbolicity of cube complexes and quasi-arboreal groups
• A group of non-uniform exponential growth locally isomorphic to $IMG(z^2+i)$
• A Hurewicz theorem for the Assouad-Nagata dimension
• Divergence in lattices in semisimple Lie groups and graphs of groups
• Growth Rates, ℤ p -Homology, and Volumes of Hyperbolic 3-Manifolds
• Finitely presented simple groups and products of trees
• On the residual and profinite closures of commensurated subgroups
• Virtually Cocompactly Cubulated Artin–Tits Groups
• Uniform independence for Dehn twist automorphisms of a free group
• The Tits Alternative for Cat(0) Cubical Complexes
• Free products with amalgamation and HNN-extensions of uniformly exponential growth
• Commensurability of graph products
• The mapping class group of a genus two surface is linear
• Unbounded domains in hierarchically hyperbolic groups
• Finite and Infinite Quotients of Discrete and Indiscrete Groups
• Conjugator lengths in hierarchically hyperbolic groups
• What is a hierarchically hyperbolic space?
• Sublinearly Morse boundaries from the viewpoint of combinatorics

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