{
  "id": "2212.03055",
  "version": "v1",
  "published": "2022-12-06T15:31:38.000Z",
  "updated": "2022-12-06T15:31:38.000Z",
  "title": "Homomorhic images of algebraic groups",
  "authors": [
    "Uri Bader",
    "Elyasheev Leibtag"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We study topological group theoretic properties of algebraic groups over local fields. In particular, we find conditions under which such groups have closed images under arbitrary continuous homomorphisms into arbitrary topological groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-06T15:31:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "20G25",
      "54H11",
      "54H13",
      "54D25"
    ],
    "keywords": [
      "algebraic groups",
      "homomorhic images",
      "study topological group theoretic properties",
      "arbitrary topological groups",
      "local fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}