{
  "id": "1902.06533",
  "version": "v1",
  "published": "2019-02-18T11:56:03.000Z",
  "updated": "2019-02-18T11:56:03.000Z",
  "title": "The stable category and invertible modules for infinite groups",
  "authors": [
    "Nadia Mazza",
    "Peter Symonds"
  ],
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "We construct a well-behaved stable category of modules for a large class of infinite groups. We then consider its Picard group, which is the group of invertible (or endotrivial) modules. We show how this group can be calculated when the group acts on a tree with finite stabilisers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-18T11:56:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C07",
      "20C12",
      "16E05"
    ],
    "keywords": [
      "infinite groups",
      "invertible modules",
      "group acts",
      "large class",
      "finite stabilisers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}