Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Roots of unity and the Adams-Novikov spectral sequence for formal $ A$-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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55T25, 55N22

Retrieve articles in all journals with MSC: 55T25, 55N22


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1991-0987163-3
Article copyright: © Copyright 1991 American Mathematical Society