S. Nguyen

activity

20172025

most citedOn the action of the Steenrod algebra on the modular invariants of special linear group

6 citations · 7 across the 3 of their papers we have counts for

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5 papers · 1 filter

math.AT2025

An application of the hit problem to the algebraic transfer

Nguyen Sum

Let $P_{k}$ be the polynomial algebra $F_{2} [x_{1}, x_{2}, \dots, x_{k}]$ over the field $F_{2}$ with two elements, in $k$ variables $x_{1}, x_{2}, \dots, x_{k}$ , each variable of d…

math.AT2023

A minimal set of generators for the polynomial algebra of five variables in a generic degree

Nguyen Sum, Pham Do Tai

Let $P_{k}$ be the graded polynomial algebra $F_{2} [x_{1}, x_{2}, \dots, x_{k}]$ over the prime field with two elements, $F_{2}$ , with the degree of each $x_{i}$ being 1. We study…

math.AT2018

On a construction for the generators of the polynomial algebra as a module over the Steenrod algebra

Nguyen Sum

Let $P_{n}$ be the graded polynomial algebra $F_{2} [x_{1}, x_{2}, \dots, x_{n}]$ with the degree of each generator $x_{i}$ being 1, where $F_{2}$ denote the prime field of two ele…

math.AT2017★ 6 cited

On the action of the Steenrod algebra on the modular invariants of special linear group

Nguyen Sum

We compute the action of the Steenrod algebra on generators of algebras of invariants of special linear group $S L_{n} = S L (n, Z / p)$ in the polynomial algebra with $p$ an odd…

math.AT2017★ 1 cited

On the module structure over the Steenrod algebra of the Dickson algebra

Nguyen Sum

Let $p$ be an odd prime number. We study the problem of determining the module structure over the mod $p$ Steenrod algebra $A (p)$ of the Dickson algebra $D_{n}$ consisting o…