Author/Authors :
Eric Jaligot، نويسنده , , Abderezak Ould Houcine، نويسنده ,
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 .