Augmented group systems and \(n\)-knots

DOI10.1007/BF01445122zbMath0793.57012OpenAlexW2000984168MaRDI QIDQ1318076

Daniel S. Silver

Publication date: 25 August 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165102

zbMATH Keywords

finitely presented groupincompressible Seifert surface\(n\)-knotaugmented group systemsatellite \(n\)-knotssatellite construction

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05)

Related Items (5)

PERIODIC ORBITS OF A DYNAMICAL SYSTEM RELATED TO A KNOT ⋮ ALEXANDER–LIN TWISTED POLYNOMIALS ⋮ ON CYCLES AND COVERINGS ASSOCIATED TO A KNOT ⋮ Augmented group systems and shifts of finite type ⋮ Knot invariants from symbolic dynamical systems

Cites Work

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• Amalgamated products and finitely presented groups
• Groups of higher dimensional satellite knots
• On maximal fibred submanifolds of a knot exterior
• Growth rates of \(n\)-knots
• Almost finitely presented soluble groups
• On irreducible 3-manifolds which are sufficiently large
• On the failure of the Howson property for a group with a single defining relation
• Examples of 3-knots with no minimal Seifert manifolds

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