Largest acylindrical actions and Stability in hierarchically hyperbolic groups

DOI10.1090/btran/50zbMath1498.20109arXiv1705.06219OpenAlexW3129996641WikidataQ115546418 ScholiaQ115546418MaRDI QIDQ5853605

Matthew Gentry Durham, Carolyn R. Abbott, Jason A. Behrstock

Publication date: 11 March 2021

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06219

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (26)

Divergence of finitely presented subgroups of CAT(0) groups ⋮ Stable subgroups of the genus 2 handlebody group ⋮ An embedding of the Morse boundary in the Martin boundary ⋮ Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization ⋮ On hierarchical hyperbolicity of cubical groups ⋮ Unbounded domains in hierarchically hyperbolic groups ⋮ Non-colorable hierarchically hyperbolic groups ⋮ Conjugacy languages in virtual graph products ⋮ Conjugator lengths in hierarchically hyperbolic groups ⋮ Thickness and relative hyperbolicity for graphs of multicurves ⋮ Square percolation and the threshold for quadratic divergence in random right‐angled Coxeter groups ⋮ Extra-large type Artin groups are hierarchically hyperbolic ⋮ Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity ⋮ Convexity in hierarchically hyperbolic spaces ⋮ Extensions of Veech groups. II: Hierarchical hyperbolicity and quasi-isometric rigidity ⋮ Hierarchically hyperbolic groups are determined by their Morse boundaries ⋮ Finite extensions of $\mathcal{H}-$ and $\mathcal{AH}-$accessible groups ⋮ Actions of small cancellation groups on hyperbolic spaces ⋮ The geometry of generalized loxodromic elements ⋮ A refined combination theorem for hierarchically hyperbolic groups ⋮ Acylindrical hyperbolicity of groups acting on quasi-median graphs and equations in graph products ⋮ A metrizable topology on the contracting boundary of a group ⋮ The local-to-global property for Morse quasi-geodesics ⋮ Divergence of finitely presented groups ⋮ Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups ⋮ Hierarchical hyperbolicity of graph products

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