paper

Knot Group Epimorphisms

arXiv:math/0405462

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.

Plain TeX, 15 pages with 4 figures

Knot Group Epimorphisms · wovepaper