{
  "id": "1811.04484",
  "version": "v1",
  "published": "2018-11-11T21:25:10.000Z",
  "updated": "2018-11-11T21:25:10.000Z",
  "title": "Homotopy groups of $E_{C}^{hG_{24}}\\wedge A(1)$",
  "authors": [
    "Viet-Cuong Pham"
  ],
  "comment": "66 pages, 25 figures",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $A(1)$ be any of the four finite spectra whose cohomology is isomorphic to the subalgebra $A(1)$ of the Steenrod algebra. Let $E_{C}$ be the second Morava-$E$ theory associated to a universal deformation of the formal completion of the supersingular elliptic curve $(C) : y^{2}+y = x^{3}$ defined over $\\mathbb{F}_{4}$ and $G_{24}$ a maximal finite subgroup of automorphism groups $\\mathbb{S}_{C}$ of the formal completion $F_{C}$. In this paper, we will compute the homotopy groups of $E_{C}^{hG_{24}}\\wedge A(1)$ by means of the homotopy fixed point spectral sequence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-11T21:25:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homotopy groups",
      "homotopy fixed point spectral sequence",
      "formal completion",
      "maximal finite subgroup",
      "supersingular elliptic curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 66,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}