{
  "id": "2003.02329",
  "version": "v1",
  "published": "2020-03-04T20:47:17.000Z",
  "updated": "2020-03-04T20:47:17.000Z",
  "title": "Model theory of Galois actions of torsion Abelian groups",
  "authors": [
    "Özlem Beyarslan",
    "Piotr Kowalski"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that the theory of Galois actions of a torsion Abelian group $A$ is companionable if and only if for each prime $p$, the $p$-primary part of $A$ is either finite or it coincides with the Pr\\\"{u}fer $p$-group. We also provide a model-theoretic description of the model companions we obtain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-04T20:47:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "12H10",
      "11S20",
      "20E18"
    ],
    "keywords": [
      "torsion abelian group",
      "galois actions",
      "model theory",
      "primary part",
      "model-theoretic description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}