{
  "id": "1405.2385",
  "version": "v1",
  "published": "2014-05-10T03:39:51.000Z",
  "updated": "2014-05-10T03:39:51.000Z",
  "title": "Elements in finite classical groups whose powers have large 1-Eigenspaces",
  "authors": [
    "Alice C. Niemeyer",
    "Cheryl E. Praeger"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We estimate the proportion of several classes of elements in finite classical groups which are readily recognised algorithmically, and for which some power has a large fixed point subspace and acts irreducibly on a complement of it. The estimates are used in complexity analyses of new recognition algorithms for finite classical groups in arbitrary characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-10T03:39:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G40",
      "20P05"
    ],
    "keywords": [
      "finite classical groups",
      "large fixed point subspace",
      "recognition algorithms",
      "complexity analyses",
      "arbitrary characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.2385N"
    }
  }
}