The Higher homotopy groups of the p-spun trefoil knot
Glasgow mathematical journal, Tome 17 (1976) no. 1, pp. 44-46

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In this paper we show that the (p+l)st homotopy group of the p-spun trefoil knot is nontrivial. This result was obtained for p = 1 in [1] using duality arguments. Here we take a totally different approach via the algorithm given in [3] and a module representation giving a simpler and more natural argument.
McCallum, W. A. The Higher homotopy groups of the p-spun trefoil knot. Glasgow mathematical journal, Tome 17 (1976) no. 1, pp. 44-46. doi: 10.1017/S0017089500002706
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[1] 1.Andrews, J. J. and Curtis, M. L., Knotted 2-spheres in the 4-sphere, Ann. Math. 70 (1959), 565–571. Google Scholar | DOI

[2] 2.Fox, R. H., On the Complementary Domains of a Pair of Inequivalent Knots, Indag Math. 14 (1952), No. 1, 37–40. Google Scholar | DOI

[3] 3.McCallum, W. A., The Higher Homotopy Groups of Links, Diff. Geo. (to appear). Google Scholar

[4] 4.Sumners, D. W., On an Unlinking Theorem, Proc. Cambridge Philos. Soc. Math. Phy. Sci. 71 (1972), 1–4. Google Scholar | DOI

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