Knot Group Epimorphisms
classification
🧮 math.GT
keywords
groupknotknotsprimedefineddiscussedepimorphismsfact
read the original 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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