{
  "id": "1407.5171",
  "version": "v2",
  "published": "2014-07-19T11:11:06.000Z",
  "updated": "2014-09-04T08:16:12.000Z",
  "title": "Operad groups as a unified framework for Thompson-like groups",
  "authors": [
    "Werner Thumann"
  ],
  "comment": "43 pages; changes in the definitions of elementary classes and local similarity operads; several other minor changes",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "We propose a new unified framework for Thompson-like groups using a well-known device called operads and category theory as language. We discuss examples of operad groups which have appeared in the literature before. As a first application, we give sufficient conditions for plain operads to yield groups of type $F_\\infty$. This unifies and extends existing proofs for certain Thompson-like groups in a conceptual manner.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-19T11:11:06.000Z",
      "comment": "43 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-04T08:16:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "18D50",
      "57M07"
    ],
    "keywords": [
      "thompson-like groups",
      "operad groups",
      "unified framework",
      "conceptual manner",
      "well-known device"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.5171T"
    }
  }
}