Knot Group Epimorphisms
Geometric Topology
2007-05-23 v1
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.
Cite
@article{arxiv.math/0405462,
title = {Knot Group Epimorphisms},
author = {Daniel S. Silver and Wilbur Whitten},
journal= {arXiv preprint arXiv:math/0405462},
year = {2007}
}
Comments
Plain TeX, 15 pages with 4 figures