The cohomology of the Steenrod algebra and the mod \(p\) Lannes-Zarati homomorphism

DOI10.1016/j.jalgebra.2020.04.001zbMath1442.55008OpenAlexW3016974514MaRDI QIDQ2178528

Như Phạm Bích, Phan Hoàng Chon

Publication date: 11 May 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.04.001

zbMATH Keywords

Steenrod algebraspherical classesunstable moduleHurewicz mapcohomology of the Steenrod algebraLannes-Zarati homomorphism

Mathematics Subject Classification ID

Steenrod algebra (55S10) Adams spectral sequences (55T15) Infinite loop spaces (55P47) Stable homotopy of spheres (55Q45)

Cites Work

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• Determination of \(\mathrm{Ext}^{5,*}_{\mathcal A}(\mathbb Z/2,\mathbb Z/2)\)
• On the derived functors of destabilization at odd primes
• Sur les foncteurs dérivés de la déstabilisation
• Sur le \(n\)-dual du \(n\)-ème spectre de Brown-Gitler. (On the \(n\)-dual of the \(n\)-th Brown-Gitler spectrum)
• The Adams spectral sequence of the real projective spaces
• The Dyer-Lashof algebra and the \(\Lambda\)-algebra
• The homology of iterated loop spaces
• The construction of certain algebras over the Steenrod algebra
• On Singer's invariant-theoretic description of the lambda algebra: A mod \(p\) analogue
• Adams filtration and generalized Hurewicz maps for infinite loopspaces
• The generalized algebraic conjecture on spherical classes
• On the mod \(p\) Lannes-Zarati homomorphism
• On the vanishing of the Lannes-Zarati homomorphism
• \(Ext_A^{4,\ast}(\mathbb Z/2,\mathbb Z/2)\) and \(Ext_A^{5,\ast}(\mathbb Z/2,\mathbb Z/2)\)
• The mod-\(p\) lower central series and the Adams spectral sequence
• The homotopy spectral sequence of a space with coefficients in a ring
• Modular coinvariants and the modphomology ofQS^k
• THE FACTORIZATION OF CYCLIC REDUCED POWERS BY SECONDARY COHOMOLOGY OPERATIONS
• Invariant Theory and the Lambda Algebra
• 3-dimensional cohomology of the mod $p$ Steenrod algebra.
• The unstable Adams spectral sequence for free iterated loop spaces
• The iterated transfer analogue of the new doomsday conjecture
• Spherical classes and the algebraic transfer
• On triviality of Dickson invariants in the homology of the Steenrod algebra
• A-Generators for the Dickson Algebra
• The Whitehead conjecture, the tower ofS¹conjecture, and Hecke algebras of type A
• The factorization of cyclic reduced powers by secondary cohomology operations
• Koszul Resolutions