On some products of \(\beta\)-elements in the stable homotopy of \(L_ 2\)-local spheres

DOI10.2996/kmj/1138043419zbMath0859.55014OpenAlexW2082309812MaRDI QIDQ1906550

Katsumi Shimomura, Reiko Otsubo

Publication date: 7 April 1997

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043419

zbMATH Keywords

Bousfield localizationMoore spectrum

Mathematics Subject Classification ID

Stable homotopy of spheres (55Q45)

Cites Work

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• Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres
• A new family in the stable homotopy groups of spheres. II
• The cohomology of the Morava stabilizer algebras
• Realizing some cyclic \(BP_*\)-modules and applications to stable homotopy of spheres
• Periodic phenomena in the Adams-Novikov spectral sequence
• The homotopy groups \(\pi_*(L_2V(0) \wedge T(k))\)
• The homotopy groups \(\pi_ * (L_ 2 S^ 0)\)
• Algebra of stable homotopy of \(Z_ p\)-spaces and applications
• Small ring spectra and 𝑝-rank of the stable homotopy of spheres
• On Realizing Complex Bordism Modules IV Applications to the Stable Homotopy Groups of Spheres
• Higher p-Torsion in the β-Family
• A new family in the stable homotopy groups of spheres

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