{
  "id": "1309.4636",
  "version": "v3",
  "published": "2013-09-18T13:06:33.000Z",
  "updated": "2016-02-07T13:35:25.000Z",
  "title": "Equivariant compression of certain direct limit groups and amalgamated free products",
  "authors": [
    "Chris Cave",
    "Dennis Dreesen"
  ],
  "categories": [
    "math.GR",
    "math.MG"
  ],
  "abstract": "We give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups G_i whose direct limit is G. Quantifying a result by S.R. Gal, we also study the behaviour of the equivariant compression under amalgamated free products G1*_H G2 where H is of finite index in both G_1 and G_2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-19T09:39:58.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-02-07T13:35:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "22D10"
    ],
    "keywords": [
      "amalgamated free products",
      "equivariant compression",
      "direct limit groups",
      "open subgroups",
      "finite index"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.4636C"
    }
  }
}