7 citations · 14 across the 4 of their papers we have counts for
4 papers
Knot Groups with Many Killers
Daniel S. Silver, Wilbur Whitten, Susan G. Williams
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 ano…
Knot Group Epimorphisms, II
Daniel S. Silver, Wilbur Whitten
We consider the relations and on the collection of all knots, where (respectively, ) if there exists an epimorphism of knot groups…
Hyperbolic covering knots
Daniel S. Silver, Wilbur Whitten
Given any knot k, there exists a hyperbolic knot tilde k with arbitrarily large volume such that the knot group pi k is a quotient of pi tilde k by a map that sends meridian to mer…
Knot Group Epimorphisms
Daniel S. Silver, Wilbur Whitten
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 parti…