{
  "id": "1703.10942",
  "version": "v1",
  "published": "2017-03-31T15:26:08.000Z",
  "updated": "2017-03-31T15:26:08.000Z",
  "title": "Separable commutative rings in the stable module category of cyclic groups",
  "authors": [
    "Paul Balmer",
    "Jon F. Carlson"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "We prove that the only separable commutative ring-objects in the stable module category of a finite cyclic p-group G are the ones corresponding to subgroups of G. We also describe the tensor-closure of the Kelly radical of the module category and the stable module category of any finite group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-31T15:26:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "14F20",
      "18E30"
    ],
    "keywords": [
      "stable module category",
      "separable commutative rings",
      "cyclic groups",
      "finite cyclic p-group",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}