On the determination of knots by their cyclic unbranched coverings
arXiv:math/0703268
Abstract
We show that, for any prime p, a knot K in the 3-sphere is determined by its p-fold cyclic unbranched covering. We also investigate when the m-fold cyclic unbranched covering of a knot coincides with the n-fold cyclic unbranched covering of another knot, for different coprime integers m and n.
this is the final version which appears in Rend. Istit. Mat. Univ. Trieste 39, 337-346 (2007)