{
  "id": "2407.07680",
  "version": "v1",
  "published": "2024-07-10T14:06:53.000Z",
  "updated": "2024-07-10T14:06:53.000Z",
  "title": "Residual finiteness and discrete subgroups of Lie groups",
  "authors": [
    "Matthew Stover"
  ],
  "categories": [
    "math.GR",
    "math.GT",
    "math.NT"
  ],
  "abstract": "Let $G$ be a real Lie group and $\\Gamma < G$ be a discrete subgroup of $G$. Is $\\Gamma$ residually finite? This paper describes known positive and negative results then poses some questions whose answers will lead to a fairly complete answer for lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-10T14:06:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discrete subgroup",
      "residual finiteness",
      "real lie group",
      "fairly complete answer",
      "negative results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}