Relative quasiconvexity using fine hyperbolic graphs.

DOI10.2140/agt.2011.11.477zbMath1229.20038arXiv1009.3532OpenAlexW3105743719MaRDI QIDQ625340

Daniel T. Wise, Eduardo Martínez Pedroza

Publication date: 16 February 2011

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

Full work available at URL: https://arxiv.org/abs/1009.3532

zbMATH Keywords

quasiconvex subgroupsrelatively hyperbolic groupsfine graphs

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (10)

A note on hyperbolically embedded subgroups ⋮ Quasiconvexity and relatively hyperbolic groups that split. ⋮ Subgroups of relatively hyperbolic groups of Bredon cohomological dimension 2 ⋮ Relative hyperbolicity of hyperbolic-by-cyclic groups ⋮ Topological groups with a compact open subgroup, relative hyperbolicity and coherence ⋮ On quasiconvexity and relatively hyperbolic structures on groups. ⋮ Local quasiconvexity of groups acting on small cancellation complexes. ⋮ DISMANTLABLE CLASSIFYING SPACE FOR THE FAMILY OF PARABOLIC SUBGROUPS OF A RELATIVELY HYPERBOLIC GROUP ⋮ Lifting group actions, equivariant towers and subgroups of non-positively curved groups. ⋮ Cores for quasiconvex actions

Cites Work

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• Local quasiconvexity of groups acting on small cancellation complexes.
• Separation of relatively quasiconvex subgroups.
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Combination of quasiconvex subgroups of relatively hyperbolic groups.
• RELATIVELY HYPERBOLIC GROUPS
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Conical limit points and uniform convergence groups
• Relatively hyperbolic groups

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