A-generators for certain polynomial algebras

DOI10.1017/S0305004100067803zbMath0692.55012OpenAlexW1992275741MaRDI QIDQ3034531

Franklin P. Peterson

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100067803

zbMATH Keywords

projective spacesSteenrod algebranomal Stiefel-Whitney classes

Mathematics Subject Classification ID

Steenrod algebra (55S10) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items (26)

On the Peterson hit problem ⋮ Generic \(\mathcal A\)-generators for the polynomial algebra ⋮ GENERATORS OF THE POLYNOMIAL ALGEBRA AS A MODULE OVER THE STEENROD ALGEBRA ⋮ Stripping and conjugation in the Steenrod algebra ⋮ 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 ⋮ A note on the hit problem for the polynomial algebra in the case of odd primes and its application ⋮ Rings of symmetric functions as modules over the Steenrod algebra ⋮ Sparseness for the symmetric hit problem at all primes ⋮ The squaring operation and the hit problem for the polynomial algebra in a type of generic degree ⋮ The hit problem for \(H^{*}(BU(2); \mathbb F_p)\) ⋮ 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. ⋮ On a conjecture on the symmetric hit problem ⋮ Algebraic transfer and action of linear groups on mod 2 divided powers ⋮ Conjugation and Excess in the Steenrod Algebra ⋮ Some relations between admissible monomials for the polynomial algebra ⋮ A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem ⋮ \(A\)-generators for ideals in the Dickson algebra ⋮ Polynomial Modules Over the Steenrod Algebra and Conjugation in the Milnor Basis ⋮ On the Action of Steenrod Squares on Polynomial Algebras ⋮ The transfer in homological algebra ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer ⋮ Unnamed Item ⋮ The iterated transfer analogue of the new doomsday conjecture

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