Ribbon \(2\)-knot groups of Coxeter type

DOI10.2140/agt.2023.23.2715zbMath1530.20131arXiv2103.01987OpenAlexW3135795804MaRDI QIDQ6148485

Jens Harlander, Stephan Rosebrock

Publication date: 11 January 2024

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

Full work available at URL: https://arxiv.org/abs/2103.01987

zbMATH Keywords

Coxeter groupknot groupasphericitylabeled oriented treeWirtinger presentation\(2\)-knotLOT presentation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Cancellation theory of groups; application of van Kampen diagrams (20F06) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Higher-dimensional knots and links (57K45)

Cites Work

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• Every Two-Generator Knot is Prime
• Labelled Oriented Trees and the Whitehead-Conjecture
• Aspherical word labeled oriented graphs and cyclically presented groups
• The rank problem for sufficiently large Fuchsian groups
• Some results on one-relator groups

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