{
  "id": "1612.04102",
  "version": "v1",
  "published": "2016-12-13T11:40:42.000Z",
  "updated": "2016-12-13T11:40:42.000Z",
  "title": "The Groups $G_{n}^{k}$ and Fundamental Groups of Configuration Spaces",
  "authors": [
    "Vassily Olegovich Manturov"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct a map from fundamental groups of complements to some plane configurations to the groups $G_{n}^{k}$ for large $k$. We discuss connection between the groups $G_{n}^{k}$ for different $G_{n}^{k}$ and their geometric realization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-13T11:40:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "fundamental groups",
      "configuration spaces",
      "plane configurations",
      "geometric realization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}