{
  "id": "2203.06706",
  "version": "v1",
  "published": "2022-03-13T16:50:47.000Z",
  "updated": "2022-03-13T16:50:47.000Z",
  "title": "Bredon and Farrell-Jones homology of Artin groups of dihedral type",
  "authors": [
    "Yago Antolín",
    "Ramón Flores"
  ],
  "comment": "30 pages",
  "categories": [
    "math.AT",
    "math.GR",
    "math.GT",
    "math.KT"
  ],
  "abstract": "For Artin groups of dihedral type, we compute the Bredon homology groups of the classifying space for the family of virtually cyclic subgroups with coefficients in the K-theory of a group ring, and the Farrell-Jones homology groups of their classifying spaces with coefficients in regular rings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-13T16:50:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19E20",
      "19A31",
      "19B28",
      "20F36"
    ],
    "keywords": [
      "artin groups",
      "dihedral type",
      "classifying space",
      "farrell-jones homology groups",
      "bredon homology groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}