Detecting free splittings in relatively hyperbolic groups

DOI10.1090/S0002-9947-08-04486-3zbMath1196.20050arXivmath/0610967MaRDI QIDQ3542004

François Dahmani, Daniel Groves

Publication date: 27 November 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610967

zbMATH Keywords

algorithmsnumbers of endsfinitely presented groupsrelatively hyperbolic groupsword-hyperbolic groupsfundamental groups of graphs of groupsGrushko decompositionsDunwoody decompositionsfreely decomposable groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Enumerating limit groups., The structure of limit groups over hyperbolic groups, Vertex links and the Grushko decomposition, Deciding isomorphy using Dehn fillings, the splitting case, Detecting geometric splittings in finitely presented groups, The isomorphism problem for all hyperbolic groups., The isomorphism problem for toral relatively hyperbolic groups.

Cites Work

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• RELATIVELY HYPERBOLIC GROUPS
• The Boundary of Negatively Curved Groups
• Connectedness properties of limit sets
• Relatively hyperbolic groups