{
  "id": "math/0008229",
  "version": "v1",
  "published": "2000-08-30T15:21:52.000Z",
  "updated": "2000-08-30T15:21:52.000Z",
  "title": "On the Cohomology of Central Frattini Extensions",
  "authors": [
    "Alejandro Adem",
    "Jonathan Pakianathan"
  ],
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "We use topological methods to compute the mod p cohomology of certain p-groups. More precisely we look at central Frattini extensions of elementary abelian by elementary abelian groups such that their defining k-invariants span the entire image of the Bockstein. We show that if p is sufficiently large, then the mod p cohomology of the extension can be explicitly computed as an algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-08-30T15:21:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20J06",
      "55R35"
    ],
    "keywords": [
      "central frattini extensions",
      "cohomology",
      "elementary abelian groups",
      "defining k-invariants span",
      "entire image"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......8229A"
    }
  }
}