The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime

zbMath1277.55007arXiv1202.2517MaRDI QIDQ2911019

Katsumi Shimomura, Ryo Kato

Publication date: 12 September 2012

Full work available at URL: https://arxiv.org/abs/1202.2517

zbMATH Keywords

Adams-Novikov spectral sequenceBockstein spectral sequencechromatic spectral sequence

Mathematics Subject Classification ID

Spectral sequences in algebraic topology (55T99) Homotopy groups (55Q99) Stable homotopy of spheres (55Q45)

Cites Work

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• The chromatic \(E_ 1\)-term \(H^ 1M_ 1^ 1\) at the prime 3
• On the Adams-Novikov spectral sequence and products of \(\beta\)-elements
• Non-triviality of some compositions of \(\beta\)-elements in the stable homotopy of the Moore spaces
• The cohomology of the Morava stabilizer algebras
• Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
• Periodic phenomena in the Adams-Novikov spectral sequence
• The homotopy groups \(\pi_ * (L_ 2 S^ 0)\)
• The homotopy groups \(\pi_*(L_2 S^0)\) at the prime 3
• The chromatic \(E_1\)-term \(H^0 M_1^2\) for \(p>3\)
• Centralizers of elementary Abelian \(p\)-subgroups and mod-\(p\) cohomology of profinite groups
• The homotopy groups of the \(L_2\)-localized mod 3 Moore spectrum
• On spectra realizing exterior parts of the Steenrod algebra
• Localization with Respect to Certain Periodic Homology Theories
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
• The homotopy groups of the 𝐿₂-localized Toda-Smith spectrum 𝑉(1) at the prime 3
• Massey Higher Products

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