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Homotopy commutativity in p-localized gauge groups

  • D. Kishimoto (a1), A. Kono (a2) and S. Theriault (a3)


Let G be a simple, compact Lie group and let be the gauge group of the principal G-bundle over S4 with second Chern class k. McGibbon classified the groups G that are homotopy commutative when localized at a prime p. We show that in many cases the homotopy commutativity of G, or its failure, determines that of .



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* Present address: School of Mathematics, University of Southampton, Southampton SO17 1BJ, UK ().

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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