{
  "id": "0801.2723",
  "version": "v1",
  "published": "2008-01-17T17:19:15.000Z",
  "updated": "2008-01-17T17:19:15.000Z",
  "title": "On the Tensor Products of Modules for Dihedral 2-Groups",
  "authors": [
    "David A. Craven"
  ],
  "comment": "11 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Recall that an algebraic module is a KG-module that satisfies a polynomial with integer coefficients, with addition and multiplication given by direct sum and tensor product. In this article we prove that if L is a component of the (stable) Auslander-Reiten quiver for a dihedral 2-group consisting of non-periodic modules, then there is at most one algebraic module on L.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-17T17:19:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20"
    ],
    "keywords": [
      "tensor product",
      "algebraic module",
      "non-periodic modules",
      "direct sum",
      "auslander-reiten quiver"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}