{
  "id": "1811.00468",
  "version": "v1",
  "published": "2018-11-01T16:07:45.000Z",
  "updated": "2018-11-01T16:07:45.000Z",
  "title": "The stability of finite sets in dyadic groups",
  "authors": [
    "Tom Sanders"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that there is an absolute $c>0$ such that any subset of $\\mathbb{F}_2^\\infty$ of size $N$ is $O(N^{1-c})$-stable in the sense of Terry and Wolf. By contrast a size $N$ arithmetic progression in the integers is not $N$-stable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-01T16:07:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite sets",
      "dyadic groups",
      "arithmetic progression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}