The 2-generalized knot group determines the knot
classification
🧮 math.GT
keywords
knotdeterminesgeneralizedgroupgroupsindependentlyintroducedkelly
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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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