Knots with finite weight commutator subgroups
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- by Charles Livingston PDF
- Proc. Amer. Math. Soc. 101 (1987), 195-198 Request permission
Abstract:
An example of a knot in ${S^3}$ is constructed which has a companion of winding number zero but for which the commutator subgroup of the fundamental group of the complement is of finite weight. This provides a counterexample to a conjecture made by Jonathan Simon.References
- Rob Kirby, Problems in low dimensional manifold theory, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 273–312. MR 520548
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 195-198
- MSC: Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1987-0897094-X
- MathSciNet review: 897094