The derived functors of the primitives for 𝐵𝑃_{∗}(Ω𝑆²ⁿ⁺¹)

Bendersky, Martin

doi:10.1090/S0002-9947-1983-0688964-7

The derived functors of the primitives for $\textrm {BP}_\ast (\Omega S^{2n+1})$
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Trans. Amer. Math. Soc. 276 (1983), 599-619 Request permission

Erratum: Trans. Amer. Math. Soc. 280 (1983), 429.

Abstract:

Formulas for the Hopf invariant, and the $P$ map in the Novikov double suspension sequence are derived. The formulas allow an effective inductive computation of the ${E_2}$-term of the unstable Adams-Novikov spectral sequence. The $3$ primary ${E_2}$-term through the $54$ stem is displayed.

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