{
  "id": "1406.1130",
  "version": "v1",
  "published": "2014-06-04T18:11:47.000Z",
  "updated": "2014-06-04T18:11:47.000Z",
  "title": "Free amalgamation and automorphism groups",
  "authors": [
    "Andreas Baudisch"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Let L be a countable elementary language, N be a Fraisse limit. We consider free amalgamation for L-structures where L is arbitrary. If free amalgamation for finitely generated substructures exits in N, then it is a stationary independece relation in the sense of K.Tent and M.Ziegler [TZ12b]. Therefore Aut(N) is universal for Aut(M) for all substructures M of N. This follows by a result of I.M\\\"uller [Mue13] We show that c-nilpotent graded Lie algebras over a finite field and c-nilpotent groups of exponent p (c < p) with extra predicates for a central Lazard series provide examples. We replace the proof in [Bau04] of the amalgamation of c-nilpotent graded Lie algebras over a field by a correct one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-04T18:11:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45"
    ],
    "keywords": [
      "free amalgamation",
      "automorphism groups",
      "c-nilpotent graded lie algebras",
      "stationary independece relation",
      "central lazard series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.1130B"
    }
  }
}