{
  "id": "math/0402300",
  "version": "v1",
  "published": "2004-02-18T13:36:27.000Z",
  "updated": "2004-02-18T13:36:27.000Z",
  "title": "Kac-Moody groups as discrete groups",
  "authors": [
    "Bertrand Remy"
  ],
  "comment": "15 pages, conference",
  "categories": [
    "math.GR"
  ],
  "abstract": "This survey paper presents the discrete group viewpoint on Kac-Moody groups. Over finite fields, the latter groups are finitely generated; they act on new buildings enjoying remarkable negative curvature properties. The study of these groups is shared between proving results supporting the analogy with some $S$-arithmetic groups, and exhibiting properties showing that they are new groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-18T13:36:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22F50",
      "22E20",
      "51E24",
      "53C24",
      "22E40",
      "17B67"
    ],
    "keywords": [
      "kac-moody groups",
      "discrete group viewpoint",
      "survey paper",
      "finite fields",
      "arithmetic groups"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2300R"
    }
  }
}