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
Link To Document :
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