{
  "id": "math/0508079",
  "version": "v1",
  "published": "2005-08-03T16:38:46.000Z",
  "updated": "2005-08-03T16:38:46.000Z",
  "title": "Isogenies of elliptic curves and the Morava stabilizer group",
  "authors": [
    "Mark Behrens",
    "Tyler Lawson"
  ],
  "comment": "16 pages, to appear in J. Pure Appl. Alg",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let MS_2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over \\br{FF}_p, O the ring of endomorphisms of C, and \\ell a topological generator of Z_p^x (respectively Z_2^x/{+-1} if p = 2). We show that for p > 2 the group \\Gamma \\subseteq O[1/\\ell]^x of quasi-endomorphisms of degree a power of \\ell is dense in MS_2. For p = 2, we show that \\Gamma is dense in an index 2 subgroup of MS_2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-03T16:38:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R52",
      "14H52",
      "55Q51"
    ],
    "keywords": [
      "p-primary second morava stabilizer group",
      "supersingular elliptic curve",
      "endomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8079B"
    }
  }
}