Nguyễn Sum

activity

20092024

most citedOn the generators of the polynomial algebra as a module over the Steenrod algebra

83 citations · 84 across the 5 of their papers we have counts for

collaborators

5 papers

math.AT2024

Determination of the fifth Singer algebraic transfer in some degrees

Nguyen Sum

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

math.AT2024

A counter-example to Singer's conjecture for the algebraic transfer

Nguyen Sum

Write $P_{k} := F_{2} [x_{1}, x_{2}, \dots, x_{k}]$ for the polynomial algebra over the prime field $F_{2}$ with two elements, in $k$ generators $x_{1}, x_{2}, \dots, x_{k}$ , each of…

math.AT2017

On the action of the Steenrod-Milnor operations on the invariants of the general linear groups

Nguyen Thai Hoa, Pham Thi Kim Minh, Nguyen Sum

Let $p$ be an odd prime number. Denote by $G L_{n} = G L (n, F_{p})$ the general linear group over the prime field $F_{p}$ . Each subgroup of $G L_{n}$ acts on the algebra $P_n=E…

math.AT2016★ 83 cited

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

Dang Vo Phuc, Nguyen Sum

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

math.AT2009★ 1 cited

The action of the primitive Steenrod-Milnor operations on the modular invariants

Nguyen Sum

We compute the action of the primitive Steenrod-Milnor operations on generators of algebras of invariants of subgroups of general linear group GL_n=GL(n,F_p) in the polynomial alge…