{
  "id": "1404.6886",
  "version": "v2",
  "published": "2014-04-28T07:40:15.000Z",
  "updated": "2015-01-08T12:43:04.000Z",
  "title": "Subalgebras of the Z/2-equivariant Steenrod algebra",
  "authors": [
    "Nicolas Ricka"
  ],
  "comment": "24 pages, fixed some typos, some proofs improved",
  "categories": [
    "math.AT"
  ],
  "abstract": "The aim of this paper is to study sub-algebras of the $\\mathbb{Z}/2$-equivariant Steenrod algebra (for cohomology with coefficients in the constant Mackey functor $\\mathbb{F}_2$) which come from quotient Hopf algebroids of the $\\mathbb{Z}/2$-equivariant dual Steenrod algebra. In particular, we study the equivariant counterpart of profile functions, exhibit the equivariant analogues of the classical $\\mathcal{A}(n)$ and $\\mathcal{E}(n)$ and show that the Steenrod algebra is free as a module over these.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-28T07:40:15.000Z",
      "comment": "24 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-08T12:43:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55S10",
      "55S91"
    ],
    "keywords": [
      "equivariant dual steenrod algebra",
      "subalgebras",
      "constant mackey functor",
      "quotient hopf algebroids",
      "equivariant steenrod algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6886R"
    }
  }
}