Determining knot groups by finite quotients
Geometric Topology
2024-09-25 v2 Group Theory
Abstract
We prove that hyperbolic 2-bridge knots are determined amongst all compact 3-manifolds by the profinite completions of their knot groups.
Cite
@article{arxiv.2311.06971,
title = {Determining knot groups by finite quotients},
author = {Tamunonye Cheetham-West and Alan W. Reid},
journal= {arXiv preprint arXiv:2311.06971},
year = {2024}
}
Comments
The authors wish to withdraw this article. The attempted proof of Theorem 1.1 is incorrect because of its dependence on the statement of Theorem 2.2 in this article. The first author's attempted proof of Theorem 2.2 (arXiv:2308.00266v2) is incorrect