{
  "id": "2206.00963",
  "version": "v1",
  "published": "2022-06-02T09:55:18.000Z",
  "updated": "2022-06-02T09:55:18.000Z",
  "title": "Equivariant self-homotopy equivalences of product spaces",
  "authors": [
    "Gopal Chandra Dutta",
    "Debasis Sen",
    "Ajay Singh Thakur"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "Let G be a finite group. We study the group of G-equivariant self-homotopy equivalences of product of G-spaces. For a product of n-spaces, we represent it as product of n-subgroups under the assumption of equivariant reducibility. Further we describe each factor as a split short exact sequence. Also, we obtain an another kind of factorisation, called $LU$ type decomposition, as product of two subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-02T09:55:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "product spaces",
      "split short exact sequence",
      "g-equivariant self-homotopy equivalences",
      "equivariant reducibility",
      "type decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}