Knot Groups with Many Killers

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.

9 pages, 2 figures

References in corpus (1)

• Simon's conjecture for 2-bridge knots

Cited by in corpus (1)

• Injectivity of satellite operators in knot concordance