Finite generating sets of relatively hyperbolic groups and applications to geodesic languages

DOI10.1090/tran/6701zbMath1396.20042arXiv1402.2985OpenAlexW2025977311MaRDI QIDQ2821679

Laura Ciobanu, Yago Antolín

Publication date: 22 September 2016

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

Full work available at URL: https://arxiv.org/abs/1402.2985

zbMATH Keywords

growth seriesCayley graphsconjugacy problemrelatively hyperbolic groupsrational growthfalsification by fellow traveler property(bi)automatic groupsbounded conjugacy diagramslanguages of geodesics

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (12)

Conjugacy languages in groups ⋮ On the Generalized Membership Problem in Relatively Hyperbolic Groups ⋮ Central limit theorems for counting measures in coarse negative curvature ⋮ The compressed word problem in relatively hyperbolic groups ⋮ Permute and conjugate: the conjugacy problem in relatively hyperbolic groups ⋮ Stallings graphs for quasi-convex subgroups ⋮ Local limit theorems in relatively hyperbolic groups I: rough estimates ⋮ Counting problems in graph products and relatively hyperbolic groups ⋮ Geometry of the word problem for 3-manifold groups ⋮ Automaticity for graphs of groups ⋮ Counting subgraphs in fftp graphs with symmetry ⋮ The generalised word problem in hyperbolic and relatively hyperbolic groups

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