Cyclic group actions and knots

Author:

Abstract

Using algebraic techniques derived partly from results on logarithmic forms, the existence of infinitely many inequivalent cyclic group actions fixing a given knot is investigated, together with the related problem of whether infinitely many distinct knots can arise as the branched cyclic covers of a given knot.

Publisher

The Royal Society

Subject

General Medicine

Reference11 articles.

1. Baker A. 1972 A sharpening of the bounds for linear forms in logarithms. Acta arith. 21 117-129.

2. Finiteness theorems for conjugacy classes and branched covers of knots

3. The annihilator of a knot module. Proc. math;Crowell R. H.;Soc.,1964

4. Minimal Seifert manifolds and the knot finiteness theorem. Israel J;Farber M.;Math.,1989

5. Knots whose branched cyclic coverings have periodic homology;Gordon C.;Soc.,1972

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