Uniqueness of symmetries of knots

DOI10.1007/BF01179425zbMath0578.57003MaRDI QIDQ1066522

Makoto Sakuma

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/173731

zbMATH Keywords

prime knotsemi-free symmetriessymmetry of a knotuniversal symmetry

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17)

Related Items (13)

Homology handles with multiple knot-surgery descriptions ⋮ On \(\pi\)-hyperbolic knots which are determined by their 2-fold and 4-fold cyclic branched coverings ⋮ The \(\pi\)-orbifold group of a link ⋮ An explicit relation between knot groups in lens spaces and those in S3 ⋮ Localization for involutions in Floer cohomology ⋮ Prime amphicheiral knots with free period 2 ⋮ On cyclic branched coverings of prime knots ⋮ Spaces of knots in the solid torus, knots in the thickened torus, and links in the 3-sphere ⋮ Diffeomorphic vs isotopic links in Lens spaces ⋮ Hyperbolic isometries versus symmetries of links ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ Finite group actions on homologically peripheral 3-manifolds ⋮ Lift in the 3-sphere of knots and links in lens spaces

Cites Work

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• Group actions on fibered three-manifolds
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• A 3-manifold admitting a unique periodic PL map
• Homotopy equivalences of 3-manifolds with boundaries
• On irreducible 3-manifolds which are sufficiently large
• Links and Seifert fiber spaces
• Infinitely Periodic Knots
• Uniqueness of Free Actions on S³ Respecting a Knot
• Knots with Free Period
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• Simple Knots in Compact, Orientable 3-Manifolds

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