A nontrivial homotopy element of order \(p^{2}\) detected by the classical Adams spectral sequence

DOI10.1007/s11401-018-1046-8zbMath1422.55028OpenAlexW2781477946MaRDI QIDQ1696632

Li Nan Zhong, Hao. Zhao

Publication date: 14 February 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-1046-8

zbMATH Keywords

Adams spectral sequenceMay spectral sequencestable homotopy groups of sphereMassey product

Mathematics Subject Classification ID

Stable homotopy of spheres (55Q45)

Cites Work

• Unnamed Item
• The Steenrod algebra and its dual
• A four-filtrated May spectral sequence and its applications
• Periodic phenomena in the Adams-Novikov spectral sequence
• The convergence of \(\tilde\alpha_s^{(n)}h_0h_k\)
• A nontrivial product in the stable homotopy groups of spheres
• The cohomology of restricted Lie algebras and of Hopf algebras
• Matric Massey products
• The Adams-Novikov E 2 -Term for a Complex with p Cells
• 3-dimensional cohomology of the mod $p$ Steenrod algebra.
• Odd primary infinite families in stable homotopy theory
• The factorization of cyclic reduced powers by secondary cohomology operations