The cohomology of the Morava stabilizer algebras

DOI10.1007/BF01488970zbMath0338.55018MaRDI QIDQ1231194

Douglas C. Ravenel

Publication date: 1977

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172473

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Cohomology of Lie (super)algebras (17B56) Spectral sequences in algebraic topology (55T99) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Stable homotopy of spheres (55Q45)

Related Items (22)

On the detection of some elements in the image of the double transfer using K(2)-theory ⋮ Chromatic splitting for the \(K(2)\)-local sphere at \(p=2\) ⋮ On some products of \(\beta\)-elements in the stable homotopy of \(L_ 2\)-local spheres ⋮ The chromatic splitting conjecture at \(n = p = 2\) ⋮ The telescope conjecture at height 2 and the tmf resolution ⋮ The homotopy groups of \(S_{E(2)}\) at \(p\geq 5\) revisited ⋮ On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space ⋮ On the cohomology of nilpotent Lie algebras ⋮ Centralizers of elementary Abelian \(p\)-subgroups and mod-\(p\) cohomology of profinite groups ⋮ The homotopy groups of 𝐿₂𝑇(1)/(𝑣₁) at an odd prime ⋮ Quillen's work on formal group laws and complex cobordism theory ⋮ A four-filtrated May spectral sequence and its applications ⋮ The structure of Morava stabilizer algebras ⋮ The non-existence of odd primary Arf invariant elements in stable homotopy ⋮ Isogenies of elliptic curves and the Morava stabilizer group ⋮ The Hopf ring for complex cobordism ⋮ Unnamed Item ⋮ The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime ⋮ The composition of R. Cohen's elements and the third periodic elements in stable homotopy groups of spheres ⋮ The centralizer resolution of the 𝐾(2)-local sphere at the prime 2 ⋮ Small subalgebras of Steenrod and Morava stabilizer algebras ⋮ Formal A-modules and the Adams-Novikov spectral sequence

Cites Work

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• Noetherian localisations of categories of cobordism comodules
• The structure of Morava stabilizer algebras
• Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
• The cohomology of restricted Lie algebras and of Hopf algebras
• Matric Massey products

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