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20152026
most citedOn a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra

55 citations · 103 across the 26 of their papers we have counts for

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math.AT2025

Low-degree mod 2 cohomology of classifying spaces of -gauge groups

Dang Vo Phuc

Let be the gauge group of the principal -bundle over classified by . In this paper, we determine the first positive fibre row…

math.AT2025

The rank-five Peterson hit problem, the Singer transfer, and canonical Milnor-operation layers

Dang Vo Phuc

Let , let , and regard as an unstable module over the mod Steenrod algebra . We stu…

math.AT2025

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer

Dang Vo Phuc

Let be the mod-2 Steenrod algebra acting in the usual way on , and let . Singer's…

math.AT2025

Normalized Derivations for Steenrod--Milnor Operations on the Dickson Algebra and Applications

Dang Vo Phuc

Computing higher iterates of the primitive Steenrod-Milnor operations on the Dickson algebra has historically been obstructed by severe combinat…

math.AT2025

Computing Invariant Spaces via Global Cluster Analysis and Representation Theory

Dang Vo Phuc

The Singer algebraic transfer is a fundamental homomorphism in algebraic topology, providing a bridge between the homology of classifying spaces and the cohomology of the Steenrod…

math.AT2025

A matrix criterion and algorithmic approach for the Peterson hit problem: Part I

Dang Vo Phuc

The Peterson hit problem in algebraic topology is to explicitly determine the dimension of the quotient space in posit…

math.AT2025

On the computation of for

Dang Vo Phuc

This Note presents a computational algorithm for determining a basis of the cohomology of the mod 2 Steenrod algebra, $\mathrm{Ext}_{\mathcal A}^{k, k+*}(\mathbb{Z}/2, \mathbb{Z}/2…