The negative answer to Kameko's conjecture on the hit problem

DOI10.1016/j.aim.2010.04.026zbMath1203.55009OpenAlexW1969369598WikidataQ122938163 ScholiaQ122938163MaRDI QIDQ5917952

Nguyễn Sum

Publication date: 7 October 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.04.026

zbMATH Keywords

polynomial algebraSteenrod squareshit problem

Mathematics Subject Classification ID

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

Related Items (21)

On the Peterson hit problem ⋮ 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 ⋮ On Peterson's open problem and representations of the general linear groups ⋮ On the hit problem for the polynomial algebra ⋮ Admissible monomials and generating sets for the polynomial algebra as a module over the Steenrod algebra ⋮ The affirmative answer to Singer's conjecture on the algebraic transfer of rank four ⋮ A note on the $\mathcal{A}$-generators of the polynomial algebra of six variables and applications ⋮ On the fifth Singer algebraic transfer in a generic family of internal degree characterized by \(\mu (n)=4\) ⋮ The squaring operation and the hit problem for the polynomial algebra in a type of generic degree ⋮ The ``hit problem of five variables in the generic degree and its application ⋮ Dimension result for the polynomial algebra \(\mathbb F_2[x_1,\dots,x_n\) as a module over the Steenrod algebra] ⋮ On the May spectral sequence and the algebraic transfer. II. ⋮ A note on the Peterson hit problem for the Steenrod algebra ⋮ The squaring operation and the Singer algebraic transfer ⋮ On a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra ⋮ Some relations between admissible monomials for the polynomial algebra ⋮ The Dyer-Lashof algebra and the hit problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the hit problem for the Steenrod algebra in the generic degree and its applications

Cites Work

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• The weak conjecture on spherical classes
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• Spherical classes and the Lambda algebra
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• On Characterizing Summands in the Classifying Space of a Group, I
• The negative answer to Kameko's conjecture on the hit problem
• \(A\)-generators for ideals in the Dickson algebra
• The hit problem for the modular invariants of linear groups

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