On the dimension of \(H^\ast( ( \mathbb{Z}_2 )^{\times t}, \mathbb{Z}_2)\) as a module over Steenrod ring
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Publication:2665199
DOI10.1016/j.topol.2021.107856zbMath1485.55020arXiv2112.03600OpenAlexW3204962304MaRDI QIDQ2665199
Publication date: 18 November 2021
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.03600
Related Items (4)
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four ⋮ 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 of six variables and the sixth algebraic transfer
Cites Work
- On the May spectral sequence and the algebraic transfer. II.
- On a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra
- A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem
- Determination of \(\mathrm{Ext}^{5,*}_{\mathcal A}(\mathbb Z/2,\mathbb Z/2)\)
- On the non-existence of elements of Hopf invariant one
- The transfer in homological algebra
- Some relations between admissible monomials for the polynomial algebra
- Generic \(\mathcal A\)-generators for the polynomial algebra
- The ``hit problem of five variables in the generic degree and its application
- On a construction for the generators of the polynomial algebra as a module over the Steenrod algebra
- On the Peterson hit problem
- Rings of symmetric functions as modules over the Steenrod algebra
- \(Ext_A^{4,\ast}(\mathbb Z/2,\mathbb Z/2)\) and \(Ext_A^{5,\ast}(\mathbb Z/2,\mathbb Z/2)\)
- The Kervaire invariant of framed manifolds and its generalization
- On the nonexistence of elements of Kervaire invariant one
- Products of cocycles and extensions of mappings
- Cohomologie modulo 2 des complexes d'Eilenberg-MacLane
- Sur l'itération des opérations de Steenrod
- Steenrod squares of polynomials and the Peterson conjecture
- A-generators for certain polynomial algebras
- The hit problem for symmetric polynomials over the Steenrod algebra
- The Adams Spectral Sequence and the Triple Transfer
- A-Generators for the Dickson Algebra
- On Peterson's open problem and representations of the general linear groups
- Polynomials and the mod 2 Steenrod Algebra
- The Iteration of the Steenrod Squares in Algebraic Topology
- On the generators of the polynomial algebra as a module over the Steenrod algebra
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