Groups and Complements of Knots

Feustel, C. D. ; Whitten, Wilbur

Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1284-1295

Résumé

We investigate the extent to which knot groups determine knot manifolds and knot types. Let Ki(i = 1, 2) denote a tame knot in S3, let Ci denote a Ki-knot manifold, and assume that Π1(C1) ≈ Π1(C2). The first named author recently showed (in [6]) that, if C1 has no essential annulus, then C1 ≅ C2, and so K1 and K2 are equivalent, if K1 has property P.

Détail

DOI : 10.4153/CJM-1978-105-0

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