On the dimensions of the graded space \(\mathbb{F}_2\otimes_{\mathcal{A}}\mathbb{F}_2[x_1,x_2,\dots,x_s]\) at degrees \(s+5\) and its relation to algebraic transfers
type: Item
instance of: scholarly article
title: On the dimensions of the graded space \(\mathbb{F}_2\otimes_{\mathcal{A}}\mathbb{F}_2[x_1,x_2,\dots,x_s]\) at degrees \(s+5\) and its relation to algebraic transfers
author: Đặng Võ Phúc
published in: International Journal of Algebra and Computation
publication date: 2024-12-20T00:00:00Z
Mathematics Subject Classification ID: 55S10
Mathematics Subject Classification ID: 55R12
Mathematics Subject Classification ID: 55S05
Mathematics Subject Classification ID: 55T15
zbMATH DE Number: 7959783
zbMATH Keywords: primary cohomology operations
zbMATH Keywords: Steenrod algebra
zbMATH Keywords: algebraic transfer
zbMATH Keywords: Adams spectral sequences
MaRDI profile type: Publication
cites work: On the structure and applications of the Steenrod algebra
cites work: On the non-existence of elements of Hopf invariant one
cites work: The Iteration of the Steenrod Squares in Algebraic Topology
cites work: Q4278105
cites work: The Magma algebra system. I: The user language
cites work: Algebraic Topology (Hanoi, August 2004): The problem session
cites work: Determination of \(\mathrm{Ext}^{5,*}_{\mathcal A}(\mathbb Z/2,\mathbb Z/2)\)
cites work: Lambda algebra and the Singer transfer
cites work: On May spectral sequence and the algebraic transfer
cites work: On the May spectral sequence and the algebraic transfer. II.
cites work: The Adams spectral sequence of the real projective spaces
cites work: Q4870923
cites work: Stanley-Reisner rings and the occurrence of the Steinberg representation in the hit problem
cites work: The cohomology of the Steenrod algebra and representations of the general linear groups
cites work: Algebraic Kahn-Priddy theorem
cites work: \(Ext_A^{4,\ast}(\mathbb Z/2,\mathbb Z/2)\) and \(Ext_A^{5,\ast}(\mathbb Z/2,\mathbb Z/2)\)
cites work: Q5152688
cites work: Q4604184
cites work: Q5503873
cites work: Some relations between admissible monomials for the polynomial algebra
cites work: Algebraic transfer and action of linear groups on mod 2 divided powers
cites work: Q2971264
cites work: Q5149985
cites work: The ``hit'' problem of five variables in the generic degree and its application
cites work: On the dimension of \(H^\ast( ( \mathbb{Z}_2 )^{\times t}, \mathbb{Z}_2)\) as a module over Steenrod ring
cites work: On Peterson's open problem and representations of the general linear groups
cites work: The affirmative answer to Singer's conjecture on the algebraic transfer of rank four
cites work: A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer
cites work: On the fifth Singer algebraic transfer in a generic family of internal degree characterized by \(\mu (n)=4\)
cites work: On the generators of the polynomial algebra as a module over the Steenrod algebra
cites work: On Characterizing Summands in the Classifying Space of a Group, I
cites work: Hit polynomials and conjugation in the dual Steenrod algebra
cites work: The transfer in homological algebra
cites work: On the Action of Steenrod Squares on Polynomial Algebras
cites work: Cohomology Operations (AM-50)
cites work: Q3463981
cites work: On the Peterson hit problem
cites work: The squaring operation and the Singer algebraic transfer
cites work: On the cohomology of the Steenrod algebra
cites work: Polynomials and the mod 2 Steenrod Algebra
cites work: Generators and relations for the Steenrod algebra
cites work: On the cohomology of the mod-2 Steenrod algebra and the non-existence of elements of Hopf invariant one
cites work: Steenrod squares of polynomials and the Peterson conjecture
DOI: 10.1142/S0218196724500401
description: scientific article; zbMATH DE number 7959783