On strongly quasiconvex subgroups

DOI10.2140/gt.2019.23.1173OpenAlexW3098451414WikidataQ127758695 ScholiaQ127758695MaRDI QIDQ2001901

Yanyan Li

Publication date: 11 July 2019

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05581

zbMATH Keywords

stabilitystable subgroupsstrong quasiconvexitystrongly quasiconvex subgroups

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (25)

Morse quasiflats. I ⋮ On the Generalized Membership Problem in Relatively Hyperbolic Groups ⋮ Quasi-isometrically rigid subgroups in right-angled Coxeter groups ⋮ Surprising circles in Morse boundaries of right-angled Coxeter groups ⋮ Unbounded domains in hierarchically hyperbolic groups ⋮ Morse quasiflats. II ⋮ Hyperbolic groups acting improperly ⋮ Hyperbolicities in CAT(0) cube complexes ⋮ Regularity of Morse geodesics and growth of stable subgroups ⋮ Specializing cubulated relatively hyperbolic groups ⋮ Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity ⋮ Right-angled Coxeter groups with totally disconnected Morse boundaries ⋮ Strongly quasiconvex subgroups in amalgams and HNN extension ⋮ Convexity in hierarchically hyperbolic spaces ⋮ Croke-Kleiner admissible groups: property (QT) and quasiconvexity ⋮ Complete topological descriptions of certain Morse boundaries ⋮ Unnamed Item ⋮ Dynamics on the Morse boundary ⋮ Quasiconvexity in 3-manifold groups ⋮ Algorithms detecting stability and Morseness for finitely generated groups ⋮ On the coarse geometry of certain right-angled Coxeter groups ⋮ Quasi‐Mobius Homeomorphisms of Morse boundaries ⋮ The local-to-global property for Morse quasi-geodesics ⋮ Decomposing groups by codimension-1 subgroups ⋮ Morse subgroups and boundaries of random right-angled Coxeter groups

Cites Work

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• Quasi-convexity of hyperbolically embedded subgroups
• Divergence and quasimorphisms of right-angled Artin groups.
• Convex cocompactness and stability in mapping class groups
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Packing subgroups in relatively hyperbolic groups.
• Codimension-1 subgroups and splittings of groups
• Combination of convergence groups.
• Morse boundaries of proper geodesic metric spaces
• Convex cocompact subgroups of mapping class groups
• Relative divergence of finitely generated groups
• Hierarchically hyperbolic spaces. I: Curve complexes for cubical groups
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• Divergence of Morse geodesics
• Acylindrically hyperbolic groups
• Greenberg's Theorem for Quasiconvex Subgroups of Word Hyperbolic Groups
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Widths of Subgroups
• Pulling back stability with applications to Out(Fn) and relatively hyperbolic groups
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Contracting boundaries of CAT(0) spaces
• Divergence in right-angled Coxeter groups
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• Stability and the Morse boundary
• The geometry of purely loxodromic subgroups of right-angled Artin groups

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