A note on the stable homotopy groups of 𝑀𝑆𝑝(𝑛)

Imaoka, Mitsunori

doi:10.1090/S0002-9939-1983-0715883-5

A note on the stable homotopy groups of $M\textrm {Sp}(n)$
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Proc. Amer. Math. Soc. 89 (1983), 541-544 Request permission

Abstract:

The kernel of the epimorphism $\pi _{8n + 3}^S(MSp(n)) \to {\pi _{4n + 3}}(MSp)$ is a cyclic group of order $8m(n + 1)$ for some integer $m(n + 1)$ defined using the characteristic numbers of the symplectic cobordism classes, and this epimorphism splits for some $n$.

References

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