On the hit problem for the polynomial algebra

DOI10.1016/j.crma.2013.07.016zbMath1285.55007OpenAlexW1983194566MaRDI QIDQ373680

Nguyễn Sum

Publication date: 18 October 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1631073X1300174X

zbMATH Keywords

polynomial algebraSteenrod squareshit problem

Mathematics Subject Classification ID

Steenrod algebra (55S10)

Related Items (10)

Relations between kernels and images of reduced powers for some right Ap-modules ⋮ On the Peterson hit problem ⋮ Kameko's homomorphism and the algebraic transfer ⋮ Admissible monomials and generating sets for the polynomial algebra as a module over the Steenrod algebra ⋮ Rings of symmetric functions as modules over the Steenrod algebra ⋮ Relations among the kernels and images of Steenrod squares acting on right \(\mathcal A\)-modules ⋮ The ``hit problem of five variables in the generic degree and its application ⋮ A note on the Peterson hit problem for the Steenrod algebra ⋮ On the generators of the polynomial algebra as a module over the Steenrod algebra ⋮ Unnamed Item

Cites Work

• Algebraic transfer and action of linear groups on mod 2 divided powers
• The transfer in homological algebra
• On the subalgebra of \(H_*(({\mathbb{R}}\text{P}^\infty)^n;F_2)\) annihilated by Steenrod operations
• Generic \(\mathcal A\)-generators for the polynomial algebra
• Steenrod squares of polynomials and the Peterson conjecture
• On the Action of Steenrod Squares on Polynomial Algebras
• On Characterizing Summands in the Classifying Space of a Group, I
• The negative answer to Kameko's conjecture on the hit problem
• The negative answer to Kameko's conjecture on the hit problem
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