Existentially closed CSA-groups |
| |
Authors: | Eric Jaligot Abderezak Ould Houcine |
| |
Institution: | Équipe de Logique Mathématique, Université de Paris VII, 75251 Paris, France |
| |
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 . |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|