• DOI:10.1017/S0017089500002706
• Corpus ID: 119732131

The Higher homotopy groups of the p-spun trefoil knot

@article{McCallum1976TheHH,
  title={The Higher homotopy groups of the p-spun trefoil knot},
  author={William McCallum},
  journal={Glasgow Mathematical Journal},
  year={1976},
  volume={17},
  pages={44 - 46},
  url={https://api.semanticscholar.org/CorpusID:119732131}
}

• W. McCallum
• Published in Glasgow Mathematical Journal 1 January 1976
• Mathematics

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. 

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.