Polynomial Modules Over the Steenrod Algebra and Conjugation in the Milnor Basis

DOI10.2307/2161058zbMath0809.55008OpenAlexW4254380561MaRDI QIDQ4313360

Kenneth G. Monks

Publication date: 16 November 1994

Full work available at URL: https://doi.org/10.2307/2161058

zbMATH Keywords

module over the Steenrod algebrahit monomialsmod 2 cohomology of the \(s\)-fold product of \(\mathbb{R} P^ \infty\)

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Steenrod algebra (55S10) Primary cohomology operations in algebraic topology (55S05)

Related Items (7)

Generic \(\mathcal A\)-generators for the polynomial algebra ⋮ On the action of Steenrod squares on polynomial algebras. II ⋮ 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 nilpotence height of $P_t^s$ ⋮ Hit Polynomials and the Canonical Antiautomorphism of the Steenrod Algebra ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer

Uses Software

• Steenrod

Cites Work

• The Steenrod algebra and its dual
• A vanishing theorem in homological algebra
• Steenrod squares of polynomials and the Peterson conjecture
• A-generators for certain polynomial algebras
• Conjugation and Excess in the Steenrod Algebra
• On the Action of Steenrod Squares on Polynomial Algebras
• Excess and Conjugation in the Steenrod Algebra
• Nilpotence and Torsion in the Cohomology of the Steenrod Algebra
• The homology of BO and some results about the Steenrod algebra
• On Excess in the Milnor Basis
• The Antiautomorphism of the Steenrod Algebra

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