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

Author:
Keith Johnson

Journal:
Trans. Amer. Math. Soc. **323** (1991), 715-726

MSC:
Primary 55T25; Secondary 55N22

DOI:
https://doi.org/10.1090/S0002-9947-1991-0987163-3

MathSciNet review:
987163

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Abstract: The cohomology of a Hopf algebroid related to the Adams-Novikov spectral sequence for formal -modules is studied in the special case in which is the ring of integers in the field obtained by adjoining th roots of unity to , the -adic numbers. Information about these cohomology groups is used to give new proofs of results about the term of the Adams spectral sequence based on -local complex -theory, and about the odd primary Kervaire invariant elements in the usual Adams-Novikov spectral sequence.

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DOI:
https://doi.org/10.1090/S0002-9947-1991-0987163-3

Article copyright:
© Copyright 1991
American Mathematical Society