Roots of unity and the Adams-Novikov spectral sequence for formal 𝐴-modules

Johnson, Keith

doi:10.1090/S0002-9947-1991-0987163-3

Roots of unity and the Adams-Novikov spectral sequence for formal $A$-modules
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Trans. Amer. Math. Soc. 323 (1991), 715-726 Request permission

Abstract:

The cohomology of a Hopf algebroid related to the Adams-Novikov spectral sequence for formal $A$-modules is studied in the special case in which $A$ is the ring of integers in the field obtained by adjoining $p$th roots of unity to ${\widehat {\mathbb {Q}}_p}$, the $p$-adic numbers. Information about these cohomology groups is used to give new proofs of results about the ${E_2}$ term of the Adams spectral sequence based on $2$-local complex $K$-theory, and about the odd primary Kervaire invariant elements in the usual Adams-Novikov spectral sequence.

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