{
  "id": "2109.09174",
  "version": "v1",
  "published": "2021-09-19T17:27:09.000Z",
  "updated": "2021-09-19T17:27:09.000Z",
  "title": "On generating sets of infinite symmetric group",
  "authors": [
    "Andrei V. Semenov",
    "Aleksandra Denisova"
  ],
  "comment": "7 pages",
  "journal": "Zap. Nauch. Seminarov POMI, 500, pages 177-188, 2021",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criterion for generating by sets of this kind.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-19T17:27:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B07",
      "20F99"
    ],
    "keywords": [
      "infinite symmetric group",
      "generating sets",
      "infinite set",
      "cardinality"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}