{
  "abstract": "Let $P_q$ be the graded polynomial algebra $\\mathbb F_2[x_1,x_2,\\ldots ,x_q]$ over the prime field of two elements, $\\mathbb F_2$, with the degree of each $x_i$ being 1. We study the {\\it hit Peterson problem} of finding a minimal set of generators for $P_q$ as a module over the mod-$2$ Steenrod algebra, $\\mathcal{A}.$ In this note, we present the minimal sets of $\\mathcal{A}$-generators for $P_5$ in the cases where the degree are sufficiently general.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32475",
  "author_total": 1,
  "authors": [
    {
      "name": "Nguyen Sum"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0rcrd9c0r8adv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32475",
  "fulltext_url": null,
  "id": "0rcrd9c0r8adv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32475",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7214738685",
  "pdf_url": "https://arxiv.org/pdf/2609.32475",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0rcrd9c0r8adv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.32475",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32475"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On the hit problem of rank five",
  "title_text": "On the hit problem of rank five",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/0rcrd9c0r8adv",
  "venue": "arXiv",
  "versions": []
}