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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the stable homotopy of quaternionic and complex projective spaces.
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by David M. Segal
Proc. Amer. Math. Soc. 25 (1970), 838-841
DOI: https://doi.org/10.1090/S0002-9939-1970-0259914-9

Abstract:

Let the image in ${H_{4k}}({\operatorname {QP} ^\infty }:Z) = Z$ of stable homotopy under the Hurewicz homomorphism be $h(k) \cdot Z$. Using the Adams spectral sequence for the $2$-primary stable homotopy of quaternionic and complex projective spaces it is shown that $h(k)$ is $(2k)!$ if $k$ is even and is $(2k)!/2$ if $k$ is odd.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 838-841
  • MSC: Primary 55.45
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0259914-9
  • MathSciNet review: 0259914