{
  "id": "1609.00518",
  "version": "v1",
  "published": "2016-09-02T09:28:33.000Z",
  "updated": "2016-09-02T09:28:33.000Z",
  "title": "On orders of elements of finite almost simple groups with linear or unitary socle",
  "authors": [
    "Grechkoseeva Mariya"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We say that a finite almost simple $G$ with socle $S$ is admissible (with respect to the spectrum) if $G$ and $S$ have the same sets of orders of elements. Let $L$ be a finite simple linear or unitary group of dimension at least three over a field of odd characteristic. We describe admissible almost simple groups with socle $L$. Also we calculate the orders of elements of the coset $L\\tau$, where $\\tau$ is the inverse-transpose automorphism of $L$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-02T09:28:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D06",
      "20D60"
    ],
    "keywords": [
      "simple groups",
      "unitary socle",
      "finite simple linear",
      "unitary group",
      "odd characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}