On hierarchical hyperbolicity of cubical groups

DOI10.1007/s11856-020-1967-2zbMath1453.20056arXiv1609.01313OpenAlexW2785062877WikidataQ126336578 ScholiaQ126336578MaRDI QIDQ2182019

Mark F. Hagen, Tim Susse

Publication date: 20 May 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01313

zbMATH Keywords

CAT(0) spacehyperbolic groupcube complex

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (23)

Measure equivalence classification of transvection-free right-angled Artin groups ⋮ Stable subgroups of the genus 2 handlebody group ⋮ Unbounded domains in hierarchically hyperbolic groups ⋮ Non-colorable hierarchically hyperbolic groups ⋮ Conjugator lengths in hierarchically hyperbolic groups ⋮ Hyperbolicities in CAT(0) cube complexes ⋮ Coarse-median preserving automorphisms ⋮ Homotopy equivalent boundaries of cube complexes ⋮ Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness ⋮ Stable cubulations, bicombings, and barycenters ⋮ Extra-large type Artin groups are hierarchically hyperbolic ⋮ Hierarchically hyperbolic groups and uniform exponential growth ⋮ Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity ⋮ Projection complexes and quasimedian maps ⋮ Sublinearly Morse boundaries from the viewpoint of combinatorics ⋮ Hierarchically hyperbolic groups are determined by their Morse boundaries ⋮ A refined combination theorem for hierarchically hyperbolic groups ⋮ Quasiflats in hierarchically hyperbolic spaces ⋮ Comparing the roller and \(B(X)\) boundaries of \(\operatorname{CAT}(0)\) cube complexes ⋮ Higher rank hyperbolicity ⋮ Cross ratios and cubulations of hyperbolic groups ⋮ Largest acylindrical actions and Stability in hierarchically hyperbolic groups ⋮ On automorphisms and splittings of special groups

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