{
  "id": "0903.3751",
  "version": "v1",
  "published": "2009-03-22T19:15:35.000Z",
  "updated": "2009-03-22T19:15:35.000Z",
  "title": "The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes",
  "authors": [
    "Alexandre V. Borovik",
    "Alexei G. Myasnikov",
    "Vladimir N. Remeslennikov"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We discuss the time complexity of the word and conjugacy search problems for free products $G = A \\star_C B$ of groups $A$ and $B$ with amalgamation over a subgroup $C$. We stratify the set of elements of $G$ with respect to the complexity of the word and conjugacy problems and show that for the generic stratum the conjugacy search problem is decidable under some reasonable assumptions about groups $A,B,C$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-22T19:15:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F10",
      "20P05"
    ],
    "keywords": [
      "conjugacy problem",
      "regular elements",
      "black holes",
      "amalgamated products",
      "conjugacy search problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.3751B"
    }
  }
}