The hit problem for the polynomial algebra of four variables

Nguyen Sum

The hit problem for the polynomial algebra of four variables

Algebraic Topology 2024-12-31 v2

Authors: Nguyen Sum

Abstract

We study the problem of determining a minimal set of generators for the polynomial algebra $\mathbb F_2[x_1,x_2,...,x_k]$ as a module over the mod-2 Steenrod algebra $\mathcal{A}$ . In this paper, we give an explicit answer in terms of the monomials for $k=4$ .

Keywords

hit problem polynomial algebra Steenrod algebra minimal generators mod-2 cohomology

Cite

@article{arxiv.1412.1709,
  title  = {The hit problem for the polynomial algebra of four variables},
  author = {Nguyen Sum},
  journal= {arXiv preprint arXiv:1412.1709},
  year   = {2024}
}

Comments

240 pages, Quy Nhon University preprint,Viet Nam, 2007

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