The 2-generalized knot group determines the knot

Details The 2-generalized knot group determines the knot The 2-generalized knot group determines the knot

2008-04-07

arxiv.org/abs/0804.0807v1

Communications in Contemporary Math 10 (2008), 843-847

Mathematics

Geometric Topology

4 pages

Scientific paper

10.1142/S0219199708003058

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

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