{
  "id": "2002.07690",
  "version": "v1",
  "published": "2020-02-18T16:15:45.000Z",
  "updated": "2020-02-18T16:15:45.000Z",
  "title": "Free inverse monoids are not $FP_2$",
  "authors": [
    "Robert D. Gray",
    "Benjamin Steinberg"
  ],
  "comment": "5 pages, 1 figure, This article was originally part of our paper arXiv:1805.03413, and has now been extracted as this short note",
  "categories": [
    "math.GR",
    "math.AT",
    "math.RA"
  ],
  "abstract": "We give a topological proof that a free inverse monoid on one or more generators is neither of type left-$FP_2$ nor right-$FP_2$. This strengthens a classical result of Schein that such monoids are not finitely presented as monoids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-18T16:15:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20M50",
      "20M18",
      "20M05",
      "20J05"
    ],
    "keywords": [
      "free inverse monoid",
      "topological proof",
      "generators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}