Tadpole labelled oriented graph groups and cyclically presented groups.

DOI10.1016/j.jalgebra.2012.09.001zbMath1275.20027arXiv1209.0966OpenAlexW2137498293MaRDI QIDQ1952153

James Howie, Alun G. T. Williams

Publication date: 27 May 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0966

zbMATH Keywords

decision problemsHNN extensionshyperbolic groupsconjugacy problemcyclically presented groupsSQ-universal groupsFibonacci groupslabelled oriented graph groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Fundamental group, presentations, free differential calculus (57M05) 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) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items

Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups, Hyperbolicity of \(T(6)\) cyclically presented groups, Cyclically presented groups as labelled oriented graph groups, Fibonacci type presentations and 3-manifolds, On the Tits alternative for cyclically presented groups with length-four positive relators, An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators, Generalized polygons and star graphs of cyclic presentations of groups, Curvature distribution and hyperbolicity, Curvature distribution, relative presentations and hyperbolicity with an application to Fibonacci groups, Perfect Prishchepov groups, GROUPS OF FIBONACCI TYPE REVISITED, Generalized Fibonacci groups \(H(r,n,s)\) that are connected labelled oriented graph groups, Aspherical word labeled oriented graphs and cyclically presented groups, Shift dynamics of the groups of Fibonacci type

Uses Software

• GAP

Cites Work

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