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KNOT GROUPS WITH MANY KILLERS

Part of: Low-dimensional topology

Published online by Cambridge University Press:  13 April 2010

DANIEL S. SILVER ,
WILBUR WHITTEN  and
SUSAN G. WILLIAMS
DANIEL S. SILVER*
Affiliation:
Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA (email: silver@jaguar1.usouthal.edu)
WILBUR WHITTEN
Affiliation:
1620 Cottontown Road, Forest, VA 24551, USA (email: bjwcw@aol.com)
SUSAN G. WILLIAMS
Affiliation:
Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA (email: swilliam@jaguar1.usouthal.edu)
*
✉For correspondence; e-mail: silver@jaguar1.usouthal.edu
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Abstract

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

Keywords

knot groupmeridian2-bridgeunknotting number

MSC classification

Secondary: 57M25: Knots and links in $S^3$
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 3 , June 2010 , pp. 507 - 513
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

Footnotes

The first and third authors are partially supported by NSF grant DMS-0706798.

References

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