{
  "id": "2405.14476",
  "version": "v1",
  "published": "2024-05-23T12:05:09.000Z",
  "updated": "2024-05-23T12:05:09.000Z",
  "title": "Groups elementarily equivalent to the classical matrix groups",
  "authors": [
    "Alexei G. Myasnikov",
    "Mahmood Sohrabi"
  ],
  "comment": "36 pages",
  "categories": [
    "math.GR",
    "math.LO"
  ],
  "abstract": "In this paper we describe all groups that are first-order (elementarily) equivalent to the classical matrix groups such as $GL_n(F), SL_n(F)$ and $T_n(F)$ over a field $F$ provided $n \\geq 3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-23T12:05:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "20F16"
    ],
    "keywords": [
      "classical matrix groups",
      "groups elementarily equivalent",
      "first-order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}