Kameko's homomorphism and the algebraic transfer

DOI10.1016/j.crma.2016.06.005zbMath1347.55016OpenAlexW2494923438MaRDI QIDQ309774

Nguyễn Sum, Nguyễn Khác Tín

Publication date: 7 September 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.06.005

zbMATH Keywords

Steenrod algebraalgebraic transferKameko's homomorphismPeterson-hit problemSinger's conjecture

Mathematics Subject Classification ID

Steenrod algebra (55S10) Adams spectral sequences (55T15) Primary cohomology operations in algebraic topology (55S05)

Related Items (9)

THE ADMISSIBLE MONOMIAL BASIS FOR THE POLYNOMIAL ALGEBRA AS A MODULE OVER STEENROD ALGEBRA IN SOME DEGREES ⋮ Hit problem for the polynomial algebra as a module over the Steenrod algebra in some degrees ⋮ A note on the $\mathcal{A}$-generators of the polynomial algebra of six variables and applications ⋮ The ``hit problem of five variables in the generic degree and its application ⋮ The hit problem for the polynomial algebra in some weight vectors ⋮ A note on the Peterson hit problem for the Steenrod algebra ⋮ The squaring operation and the Singer algebraic transfer ⋮ Unnamed Item ⋮ On the hit problem for the Steenrod algebra in the generic degree and its applications

Cites Work

• Unnamed Item
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• On the hit problem for the polynomial algebra
• Lambda algebra and the Singer transfer
• Determination of \(\mathrm{Ext}^{5,*}_{\mathcal A}(\mathbb Z/2,\mathbb Z/2)\)
• Algebraic transfer and action of linear groups on mod 2 divided powers
• The image of Singer's fourth transfer
• The transfer in homological algebra
• On the Peterson hit problem
• \(Ext_A^{4,\ast}(\mathbb Z/2,\mathbb Z/2)\) and \(Ext_A^{5,\ast}(\mathbb Z/2,\mathbb Z/2)\)
• On the cohomology of the Steenrod algebra
• Steenrod squares of polynomials and the Peterson conjecture
• On the Action of Steenrod Squares on Polynomial Algebras
• Cohomology Operations (AM-50)
• The cohomology of the Steenrod algebra and representations of the general linear groups

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