{
  "id": "1610.00095",
  "version": "v1",
  "published": "2016-10-01T06:41:05.000Z",
  "updated": "2016-10-01T06:41:05.000Z",
  "title": "On cohomology of saturated fusion systems ands upper tvarieties",
  "authors": [
    "Constantin-Cosmin Todea"
  ],
  "categories": [
    "math.GR",
    "math.KT"
  ],
  "abstract": "In this short note we study the cohomology algebra of saturated fusion systems using finite groups which realize saturated fusion systems and Hochschild cohomology of group algebras. A similar result to a theorem of Alperin is proved for varieties of cohomology algebras of fusions systems associated to block algebras of finite groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-01T06:41:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fusion systems ands upper tvarieties",
      "saturated fusion systems ands upper",
      "cohomology algebra",
      "finite groups",
      "fusions systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}