• Title of article

    Existentially closed CSA-groups

  • Author/Authors

    Eric Jaligot، نويسنده , , Abderezak Ould Houcine، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    25
  • From page
    772
  • To page
    796
  • Abstract
    We study existentially closed CSA-groups. We prove that existentially closed CSA-groups without involutions are simple and divisible, and that their maximal abelian subgroups are conjugate. We also prove that every countable CSA-group without involutions embeds into a finitely generated one having, up to conjugacy, the same maximal abelian subgroups, except maybe the infinite cyclic ones. We deduce from this that there exist 2 0 countable existentially closed CSA-groups without involutions and that their first-order theories have 2 0 types over .
  • Journal title
    Journal of Algebra
  • Serial Year
    2004
  • Journal title
    Journal of Algebra
  • Record number

    696887