English

The 2-generalized knot group determines the knot

Geometric Topology 2009-01-15 v1

Abstract

Generalized knot groups Gn(K)G_n(K) were introduced independently by Kelly (1991) and Wada (1992). We prove that G2(K)G_2(K) determines the unoriented knot type and sketch a proof of the same for Gn(K)G_n(K) for n>2n>2.

Cite

@article{arxiv.0804.0807,
  title  = {The 2-generalized knot group determines the knot},
  author = {Sam Nelson and Walter D. Neumann},
  journal= {arXiv preprint arXiv:0804.0807},
  year   = {2009}
}

Comments

4 pages

R2 v1 2026-06-21T10:27:53.831Z