{
  "id": "1710.02797",
  "version": "v1",
  "published": "2017-10-08T07:31:10.000Z",
  "updated": "2017-10-08T07:31:10.000Z",
  "title": "Embeddability of right-angled Artin groups on the complements of linear forests",
  "authors": [
    "Takuya Katayama"
  ],
  "comment": "9 pages with 1 figure",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this article, we prove that embeddings of right-angled Artin group $A_1$ on the complement of a linear forest into another right-angled Artin group $A_2$ can be reduced to full embeddings of the defining graph of $A_1$ into the extension graph of the defining graph of $A_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-08T07:31:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36"
    ],
    "keywords": [
      "right-angled artin group",
      "linear forest",
      "complement",
      "embeddability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}