Actions of small cancellation groups on hyperbolic spaces

DOI10.1007/S10711-020-00561-3OpenAlexW3080766394MaRDI QIDQ2025662

David Hume, Carolyn R. Abbott

Publication date: 14 May 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10524

zbMATH Keywords

hyperbolic spacessmall cancellation groupsacylindrical actionslargest actions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

• Unnamed Item
• Small cancellation in acylindrically hyperbolic groups
• Continuously many quasiisometry classes of \(2\)-generator groups
• Bounded cohomology of subgroups of mapping class groups
• Uniformly growing k-th power-free homomorphisms
• Strongly geodesically automatic groups are hyperbolic
• Negative curvature in graphical small cancellation groups
• Small cancellation theory over Burnside groups
• Hyperbolic structures on groups
• Bounded cohomology and isometry groups of hyperbolic spaces
• Acylindrically hyperbolic groups
• Not all finitely generated groups have universal acylindrical actions
• Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
• Extending group actions on metric spaces
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• Largest acylindrical actions and Stability in hierarchically hyperbolic groups

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