On the Peterson hit problem

DOI10.1016/j.aim.2015.01.010zbMath1367.55010arXiv1412.3309OpenAlexW2040320099MaRDI QIDQ2359934

Nguyễn Sum

Publication date: 23 June 2017

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

Full work available at URL: https://arxiv.org/abs/1412.3309

zbMATH Keywords

Steenrod algebrapolynomial algebrahit problem

Mathematics Subject Classification ID

Steenrod algebra (55S10) Primary cohomology operations in algebraic topology (55S05)

Related Items (24)

On the Peterson hit problem ⋮ THE ADMISSIBLE MONOMIAL BASIS FOR THE POLYNOMIAL ALGEBRA AS A MODULE OVER STEENROD ALGEBRA IN SOME DEGREES ⋮ Kameko's homomorphism and the algebraic transfer ⋮ 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 dimension of \(H^\ast( ( \mathbb{Z}_2 )^{\times t}, \mathbb{Z}_2)\) as a module over Steenrod ring ⋮ 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 \(\mu (n)=4\) ⋮ On \(\mathbb{A}\)-generators of the cohomology \(H^* (V^{\bigoplus 5}) = \mathbb{Z}/2 [u_1, \ldots, u_5\) and the cohomological transfer of rank 5] ⋮ A note on the hit problem for the polynomial algebra in the case of odd primes and its application ⋮ 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 ⋮ 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 ⋮ On a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra ⋮ Symmetric powers, Steenrod operations and representation stability ⋮ On the generators of the polynomial algebra as a module over the Steenrod algebra ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer ⋮ 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 hit problem for the modular invariants of linear groups

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