{
  "id": "0810.0443",
  "version": "v1",
  "published": "2008-10-02T15:19:54.000Z",
  "updated": "2008-10-02T15:19:54.000Z",
  "title": "Polynomial maps over $p$-adics and residual properties of mapping tori of group endomorphisms",
  "authors": [
    "Alexander Borisov",
    "Mark Sapir"
  ],
  "comment": "11 pages, version 1: Comments are welcome",
  "categories": [
    "math.GR",
    "math.NT"
  ],
  "abstract": "We continue our study of residual properties of mapping tori of free group endomorphisms. In this paper, we prove that each of these groups are virtually residually (finite $p$)-groups for all but finitely many primes$p$. The method involves further studies of polynomial maps over finite fields and $p$-adic completions of number fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-02T15:19:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "residual properties",
      "polynomial maps",
      "mapping tori",
      "free group endomorphisms",
      "number fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.0443B"
    }
  }
}