Hiroshima Mathematical Journal

Vanishing of ${\rm Im}\,J$ classes in the stunted quaternionic projective spaces

Mitsunori Imaoka

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 21, Number 2 (1991), 343-350.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206130971

Digital Object Identifier
doi:10.32917/hmj/1206130971

Mathematical Reviews number (MathSciNet)
MR1098822

Zentralblatt MATH identifier
0728.55006

Subjects
Primary: 55Q50: $J$-morphism [See also 19L20]
Secondary: 55P42: Stable homotopy theory, spectra 55Q10: Stable homotopy groups 55T15: Adams spectral sequences

Citation

Imaoka, Mitsunori. Vanishing of ${\rm Im}\,J$ classes in the stunted quaternionic projective spaces. Hiroshima Math. J. 21 (1991), no. 2, 343--350. doi:10.32917/hmj/1206130971. https://projecteuclid.org/euclid.hmj/1206130971


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References

  • [1] J. F. Adams, On the groups J(X) - IV, Topology, 5 (1966), 21-71.
  • [2] M. C. Crabb and K. Knapp, Vector bundles of maximal codegree, Math. Z., 193 (1986), 285-296.
  • [3] M. Imaoka, On the Adams filtration of a generator of the free part of ^(<2), Publ. RIMS, Kyoto Univ. 25 (1989), 647-658.
  • [4] M. Imaoka, The maximal codegree of the quaternionic projective spaces, Hiroshima Math. J. 20 (1990), 351-363.
  • [5] I. M. James, The topology of Stiefel manifolds, London Math. Soc. Lecture note series 24, 1976.
  • [6] M. Mahowald, The order of the image of the J-homomorphism, Bull. Amer. Math. Soc., 76 (1970), 1310-1313.
  • [7] D. G. Quillen, The Adams conjecture, Topology, 10 (1970), 67-80.
  • [8] D. C. Ravenel, Complex cobordism and stable homotopy groups of spheres, Mathematics 121, Academic Press, 1986.