KNOT GROUPS WITH MANY KILLERS

Author:

SILVER DANIEL S.,WHITTEN WILBUR,WILLIAMS SUSAN G.

Abstract

AbstractThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Nontrivial Elements in a Knot Group That are Trivialized by Dehn Fillings;International Mathematics Research Notices;2019-04-08

2. WEIGHT ELEMENTS OF THE KNOT GROUPS OF SOME THREE-STRAND PRETZEL KNOTS;Bulletin of the Australian Mathematical Society;2018-08-01

3. On Andrews–Curtis conjectures for soluble groups;International Journal of Algebra and Computation;2018-02

4. Higher-Dimensional Knots According to Michel Kervaire;EMS SER LECT MATH;2017-07-31

5. ON KILLERS OF CABLE KNOT GROUPS;Bulletin of the Australian Mathematical Society;2017-02-06

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