UNIVERSAL TREE-GRADED SPACES AND ASYMPTOTIC CONES

DOI10.1142/S0218196711006509zbMath1261.20043arXiv1010.3673OpenAlexW2076559177MaRDI QIDQ3094339

Denis V. Osin, Mark V. Sapir

Publication date: 24 October 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3673

zbMATH Keywords

asymptotic conesrelatively hyperbolic groupstree-graded spacesperipheral subgroupstree-products

Mathematics Subject Classification ID

Geometric group theory (20F65) Other groups related to topology or analysis (20F38) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Groups as automorphisms of other structures (22F50)

Related Items (5)

A Cartan-Hadamard type result for relatively hyperbolic groups ⋮ Tree-graded asymptotic cones. ⋮ Asymptotic cones of HNN extensions and amalgamated products. ⋮ The homeomorphism problem for closed 3-manifolds ⋮ Limit groups over partially commutative groups and group actions on real cubings

Cites Work

• Asymptotic geometry of the mapping class group and Teichmüller space
• Lacunary hyperbolic groups. With an appendix by Michael Kapovich and Bruce Kleiner.
• Asymptotic cones of finitely presented groups
• Groups acting on tree-graded spaces and splittings of relatively hyperbolic groups.
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• EXPLICIT CONSTRUCTIONS OF UNIVERSAL ℝ-TREES AND ASYMPTOTIC GEOMETRY OF HYPERBOLIC SPACES
• Dimension of asymptotic cones of Lie groups
• Asymptotic Cones of Finitely Generated Groups
• A FINITELY PRESENTED GROUP WITH TWO NON-HOMEOMORPHIC ASYMPTOTIC CONES
• ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
• Relatively hyperbolic groups
• Unnamed Item

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