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Knot Group Epimorphisms

Daniel S. Silver·Wilbur Whitten
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Abstract

Any knot group is the image of the group of a prime knot by a homomorphism that preserves peripheral structure. In fact, there are infinitely many such prime knots. A related partial order on knots is defined, and its properties are discussed.

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Daniel S. Silver, Wilbur Whitten. 2004-05-24. Knot Group Epimorphisms. https://arxiv.org/abs/math/0405462

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