{
  "id": "1405.7605",
  "version": "v2",
  "published": "2014-05-29T16:22:12.000Z",
  "updated": "2016-07-01T19:20:06.000Z",
  "title": "Constructions of torsion-free countable, amenable, weakly mixing groups",
  "authors": [
    "Rostislav Grigorchuk",
    "Rostyslav Kravchenko",
    "Alexander Olshanskii"
  ],
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "In this note, we construct torsion-free countable, amenable, weakly mixing groups, which answer a question of V. Bergelson. Some results related to verbal subgroups and crystallographic groups are also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-29T16:22:12.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-07-01T19:20:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E99",
      "20C99",
      "37A15"
    ],
    "keywords": [
      "weakly mixing groups",
      "constructions",
      "verbal subgroups",
      "crystallographic groups",
      "construct torsion-free countable"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.7605G"
    }
  }
}