Spinning, factorisation of knots, and cyclic group actions on spheres

DOI10.1007/BF01192796zbMath0501.57008MaRDI QIDQ1172303

Cherry Kearton

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

spinningfailure of unique factorisation of n-knotsn-knots which are the fixed-point sets of inequivalent cyclic actions on (n+2)-spheres

Mathematics Subject Classification ID

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

Related Items

Finiteness theorems for conjugacy classes and branched covers of knots, Cancellation of hyperbolic ε-hermitian forms and of simple knots

Cites Work

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• Classification of simple knots by Levine pairings
• Factorisation is not unique for higher dimensional knots
• Cyclic group actions on odd-dimensional spheres
• An algebraic classification of some knots of codimension two
• On S-equivalence of Seifert matrices
• The factorization of simple knots
• Blanchfield Duality and Simple Knots
• A Note on Spun Knots
• Classification of simple knots by Blanchfield duality
• On the Higher-Dimensional Smith Conjecture
• SOME HIGHER-DIMENSIONAL KNOTS WITH THE SAME HOMOTOPY GROUPS