The first cohomology group of the generalized Morava stabilizer algebra

DOI10.1090/S0002-9939-02-06718-7zbMath1023.55006OpenAlexW1552814170MaRDI QIDQ4791511

Douglas C. Ravenel, Hirofumi Nakai

Publication date: 28 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06718-7

zbMATH Keywords

Adams-Novikov spectral sequencechromatic homotopy theoryMorava~ stabilizer algebraMorava~ stabilizer group

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Adams spectral sequences (55T15) Formal groups, (p)-divisible groups (14L05)

Cites Work

• Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
• Periodic phenomena in the Adams-Novikov spectral sequence
• The homotopy groups \(\pi_*(L_2V(0) \wedge T(k))\)
• The structure of the general chromatic \(E_1\)-term Ext\(^0_{\varGamma(2)}\) (BP\(_{\ast}\),M\(^1_2\)) at the prime 2
• The cohomology of restricted Lie algebras and of Hopf algebras
• On the structure of Hopf algebras
• The Chromatic Ext Groups $\Ext _{\Gamma (m+1)}^{0}(BP_{*},M_2^{1})$
• The homotopy groups of the L 2-localized Mahowald spectrum X<1>
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