English

Knot Groups with Many Killers

Geometric Topology 2009-09-18 v1

Abstract

The group of any nontrivial torus knot, hyperbolic 2-bridge knot, or hyperbolic knot with unknotting number one contains infinitely many elements, none the automorphic image of another, such that each normally generates the group.

Keywords

Cite

@article{arxiv.0909.3275,
  title  = {Knot Groups with Many Killers},
  author = {Daniel S. Silver and Wilbur Whitten and Susan G. Williams},
  journal= {arXiv preprint arXiv:0909.3275},
  year   = {2009}
}

Comments

9 pages, 2 figures

R2 v1 2026-06-21T13:47:39.164Z