대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제53권5호
  • /
  • Pages.1567-1583
  • /
  • 2016
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME COHOMOTOPY GROUPS OF SUSPENDED QUATERNIONIC PROJECTIVE PLANES

  • 투고 : 2015.10.14
  • 발행 : 2016.09.30
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초록

In this paper we present the computation of two kinds of cohomotopy groups $[{\Sigma}^n+^4{\mathbb{H}}P^2,S^n]$ and $[{\Sigma}^n+^5{\mathbb{H}}P^2,S^n]$ for a non-negative integer n, where ${\Sigma}^k{\mathbb{H}}P^2$ is the k-fold suspension of quaternionic projec- tive plane ${\mathbb{H}}P^2$.

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과제정보

연구 과제 주관 기관 : Korea University

참고문헌

  1. K. Aoki, On torus cohomotopy groups, Proc. Japan Acad. 30 (1954), 694-697. https://doi.org/10.3792/pja/1195525964
  2. H. Kachi, J. Mukai, T. Nozaki, Y. Sumita, and D. Tamaki, Some cohomotopy groups of suspended projective planes, Math. J. Okayama Univ. 43 (2001), 105-121.
  3. S. Kikkawa, J. Mukai, and D. Takaba, Cohomotopy sets of projective planes, J. Fac. Sci. Shinshu Univ. 33 (1998), no. 1, 1-7.
  4. K. Oguchi, Generators of 2-primary components of homotopy groups of spheres, unitary groups and symplectic groups, J. Fac. Sci. Univ. Tokyo Sect. I 11 (1964), 65-111.
  5. H. Oshima and Koji Takahara, Cohomotopy of Lie groups, Osaka J. Math. 28 (1991), no. 2, 213-221.
  6. R. Rubinsztein, Some remarks on the cohomotopy of $\mathbb{Z}P^{\infty},$, Quart. J. Math. Oxford Ser. (2) 30 (1979), no. 117, 119-128. https://doi.org/10.1093/qmath/30.1.119
  7. Y. Sumita, Master's thesis, Shinshu University, 1998.
  8. H. Toda, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies, No. 49, Princeton University Press, Princeton, N.J. 1962.