{
  "id": "1312.5615",
  "version": "v2",
  "published": "2013-12-19T16:19:14.000Z",
  "updated": "2014-11-26T17:07:33.000Z",
  "title": "Maximal subgroups of multi-edge spinal groups",
  "authors": [
    "Theofanis Alexoudas",
    "Benjamin Klopsch",
    "Anitha Thillaisundaram"
  ],
  "comment": "25 pages; includes minor corrections and clarifications",
  "categories": [
    "math.GR"
  ],
  "abstract": "A multi-edge spinal group is a subgroup of the automorphism group of a regular p-adic rooted tree, generated by one rooted automorphism and a finite number of directed automorphisms sharing a common directing path. We prove that torsion multi-edge spinal groups do not have maximal subgroups of infinite index. This generalizes a result of Pervova for GGS-groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-19T16:19:14.000Z",
      "comment": "24 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-26T17:07:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E08",
      "20E28"
    ],
    "keywords": [
      "maximal subgroups",
      "torsion multi-edge spinal groups",
      "regular p-adic rooted tree",
      "infinite index",
      "finite number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.5615A"
    }
  }
}