{
  "id": "1505.06628",
  "version": "v1",
  "published": "2015-05-25T13:44:22.000Z",
  "updated": "2015-05-25T13:44:22.000Z",
  "title": "Stratification and $π$-cosupport: Finite groups",
  "authors": [
    "Dave Benson",
    "Srikanth B. Iyengar",
    "Henning Krause",
    "Julia Pevtsova"
  ],
  "comment": "16 pages",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We introduce the notion of $\\pi$-cosupport as a new tool for the stable module category of a finite group scheme. In the case of a finite group, we use this to give a new proof of the classification of tensor ideal localising subcategories. In a sequel to this paper, we carry out the corresponding classification for finite group schemes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-25T13:44:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "20C20",
      "20G10",
      "20J06"
    ],
    "keywords": [
      "finite group scheme",
      "stratification",
      "tensor ideal localising subcategories",
      "stable module category",
      "corresponding classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150506628B"
    }
  }
}