{
  "id": "1905.00819",
  "version": "v1",
  "published": "2019-05-02T15:50:47.000Z",
  "updated": "2019-05-02T15:50:47.000Z",
  "title": "The cohomology of the Steenrod algebra and the mod $p$ Lannes-Zarati homomorphism",
  "authors": [
    "Phan Hoang Chon",
    "Pham Bich Nhu"
  ],
  "comment": "36 pages",
  "categories": [
    "math.AT",
    "math.RT"
  ],
  "abstract": "In this paper, we compute ${\\rm Ext}_{A}^{s}(\\widetilde{H}^*(B\\mathbb{Z}/p),\\mathbb{F}_p)$ for $s\\leq 1$. Using this result, we investigate the behavior of $\\varphi_3^{\\mathbb{F}_p}$ and $\\varphi_s^{\\widetilde{H}^*(B\\mathbb{Z}/p)}\\ (s\\leq1)$ for an odd prime $p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-02T15:50:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P47",
      "55Q45",
      "55S10",
      "55T15"
    ],
    "keywords": [
      "steenrod algebra",
      "lannes-zarati homomorphism",
      "cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}