On the unresolved conjecture for the algebraic transfers over the binary field

Steenrod algebra (55S10) Adams spectral sequences (55T15) Transfer for fiber spaces and bundles in algebraic topology (55R12) Primary cohomology operations in algebraic topology (55S05) Stable homotopy of spheres (55Q45)

Cites Work

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On the May spectral sequence and the algebraic transfer. II.
Lambda algebra and the Singer transfer
Determination of \(\mathrm{Ext}^{5,*}_{\mathcal A}(\mathbb Z/2,\mathbb Z/2)\)
On the structure and applications of the Steenrod algebra
On the non-existence of elements of Hopf invariant one
Sur les foncteurs dérivés de la déstabilisation
The Dyer-Lashof algebra and the \(\Lambda\)-algebra
The transfer in homological algebra
Quillen stratification for the Steenrod algebra
The weak conjecture on spherical classes
The Magma algebra system. I: The user language
Some relations between admissible monomials for the polynomial algebra
The \(\mathcal{A}\)-decomposability of the Singer construction
A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer
The ``hit problem of five variables in the generic degree and its application
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Quelques propriétés globales des variétés différentiables
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Steenrod squares of polynomials and the Peterson conjecture
On the Action of Steenrod Squares on Polynomial Algebras
Cohomology Operations (AM-50)
Polynomial Modules Over the Steenrod Algebra and Conjugation in the Milnor Basis
Hit polynomials and conjugation in the dual Steenrod algebra
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The cohomology of the Steenrod algebra and representations of the general linear groups
THE METHODS OF ALGEBRAIC TOPOLOGY FROM THE VIEWPOINT OF COBORDISM THEORY
On May spectral sequence and the algebraic transfer
On the generators of the polynomial algebra as a module over the Steenrod algebra
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four
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
On Singer's conjecture for the fourth algebraic transfer in certain generic degrees

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