Presenting parabolic subgroups.

DOI10.2140/agt.2013.13.3203zbMath1294.20053arXiv1010.1083OpenAlexW1968065171MaRDI QIDQ371272

Vincent Guirardel, François Dahmani

Publication date: 1 October 2013

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

Full work available at URL: https://arxiv.org/abs/1010.1083

zbMATH Keywords

decision problemsgenerating setsword problemrelatively hyperbolic groupsfinite presentationsfinitely presented parabolic subgroupsvan Kampen diagrams

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (7)

Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ Time complexity of the conjugacy problem in relatively hyperbolic groups ⋮ Deciding isomorphy using Dehn fillings, the splitting case ⋮ Detecting geometric splittings in finitely presented groups ⋮ Recognizing a relatively hyperbolic group by its Dehn fillings ⋮ On Fully Residually- Groups ⋮ Relatively hyperbolic groups with semistable peripheral subgroups

Cites Work

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• Quasiconvexity in relatively hyperbolic groups
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Dehn filling in relatively hyperbolic groups.
• Combinatorial group theory.
• RELATIVELY HYPERBOLIC GROUPS
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Finding relative hyperbolic structures

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