Formal A-modules and the Adams-Novikov spectral sequence
type: Item
instance of: scholarly article
title: Formal A-modules and the Adams-Novikov spectral sequence
zbMATH Open document ID: 0584.14030
DOI: 10.1016/0022-4049(84)90096-3
author: Douglas C. Ravenel
published in: Journal of Pure and Applied Algebra
publication date: 1984-01-01T00:00:00Z
review text: The Adams-Novikov spectral sequence is an \(E_ 2\)-term which is isomorphic to an Ext group derived from a certain universal formal group law. The author gives a survey of this result and then proceeds to generalize this Ext group over a universal formal A-module where A is the ring of integers in a number field or its p-adic completion. Applications and open questions are discussed.
Mathematics Subject Classification ID: 14L05
Mathematics Subject Classification ID: 18G15
zbMATH DE Number: 3935219
zbMATH Keywords: Adams-Novikov spectral sequence
zbMATH Keywords: formal group law
zbMATH Keywords: Ext
reviewed by: Bodo Pareigis
MaRDI profile type: Publication
full work available at URL: 0022-4049(84)90096-3
OpenAlex ID: W1994878102
cites work: On the groups \(J(X)\). IV
cites work: Q5532660
cites work: Q3901604
cites work: Lois de groupes et analyseurs
cites work: Formal complex multiplication in local fields
cites work: Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
cites work: Periodic phenomena in the Adams-Novikov spectral sequence
cites work: The structure of Morava stabilizer algebras
cites work: The cohomology of the Morava stabilizer algebras
cites work: The non-existence of odd primary Arf invariant elements in stable homotopy
cites work: Q5555034
cites work: \(BP_*(BP)\) and typical formal groups
description: scientific article; zbMATH DE number 3935219