{
  "id": "math/0602482",
  "version": "v1",
  "published": "2006-02-22T02:41:15.000Z",
  "updated": "2006-02-22T02:41:15.000Z",
  "title": "Degrees of rigidity for Souslin trees",
  "authors": [
    "Joel David Hamkins",
    "Gunter Fuchs"
  ],
  "comment": "33 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We investigate various strong notions of rigidity for Souslin trees, separating them under Diamond into a hierarchy. Applying our methods to the automorphism tower problem in group theory, we show under Diamond that there is a group whose automorphism tower is highly malleable by forcing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-22T02:41:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05"
    ],
    "keywords": [
      "souslin trees",
      "automorphism tower problem",
      "strong notions",
      "group theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2482H"
    }
  }
}