{
  "id": "math/0701517",
  "version": "v1",
  "published": "2007-01-18T19:17:47.000Z",
  "updated": "2007-01-18T19:17:47.000Z",
  "title": "A control theorem for the images of Galois actions on certain infinite families of modular forms",
  "authors": [
    "Luis Dieulefait"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this letter we show that for certain infinite families of modular forms of growing level it is possible to have a control result for the exceptional primes of the attached Galois representations. As an application, a uniform version of a result of Wiese on Galois realizations of linear groups over finite fields of arbitrarily large exponent is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-18T19:17:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite families",
      "modular forms",
      "galois actions",
      "control theorem",
      "exceptional primes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1517D"
    }
  }
}