{
  "id": "2207.09722",
  "version": "v1",
  "published": "2022-07-20T07:53:03.000Z",
  "updated": "2022-07-20T07:53:03.000Z",
  "title": "Prime ideals of the Burnside ring of a saturated fusion system",
  "authors": [
    "Nicolas Lemoine"
  ],
  "categories": [
    "math.GR",
    "math.RA"
  ],
  "abstract": "In a 1969 article, A. Dress described the prime ideals of the Burnside ring of a finite group G and the inclusion relations between them. One may ask whether similar results exist for the Burnside ring of a saturated fusion system F on a finite p-group S. The present paper answers positively, providing a typology for the prime ideals of A(F) and for those of A(F) (p) as a consequence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-20T07:53:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "saturated fusion system",
      "prime ideals",
      "burnside ring",
      "finite group",
      "inclusion relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}