{
  "id": "2211.07988",
  "version": "v1",
  "published": "2022-11-15T08:57:26.000Z",
  "updated": "2022-11-15T08:57:26.000Z",
  "title": "On sum-free subsets of abelian groups",
  "authors": [
    "Renato Cordeiro de Amorim"
  ],
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "In this paper we discuss some of the key properties of sum-free subsets of abelian groups. Our discussion has been designed with a broader readership in mind, and is hence not overly technical. We consider answers to questions like: how many sum-free subsets are there in a given abelian group $G$? what are its sum-free subsets of maximum cardinality? what is the maximum cardinality of these sum-free subsets? what does a typical sum-free subset of $G$ looks like? among others.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-15T08:57:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian group",
      "maximum cardinality",
      "broader readership",
      "typical sum-free subset",
      "properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}