{
  "id": "1008.1454",
  "version": "v1",
  "published": "2010-08-09T05:14:27.000Z",
  "updated": "2010-08-09T05:14:27.000Z",
  "title": "Fusion Action Systems",
  "authors": [
    "Matthew Gelvin"
  ],
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "This paper introduces the notion of fusion action system, an abstraction of the $p$-local data of a finite group acting on a finite set. Fusion action systems are closely connected with the theory of fusion systems; we detail the relationship of this new definition to the existing literature. We also develop a theory of classifying spaces of fusion action systems, analogous to the relationship between by $p$-local finite groups and fusion systems. This allows us to discuss the covering space theory arising from a group action in a fusion-theoretic context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-09T05:14:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fusion action system",
      "fusion systems",
      "local finite groups",
      "fusion-theoretic context",
      "finite set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.1454G"
    }
  }
}