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Independence Property and Hyperbolic Groups

Published online by Cambridge University Press:  15 January 2014

Eric Jaligot ,
Alexey Muranov  and
Azadeh Neman
Eric Jaligot
Affiliation:
Université de Lyon, CNRS and Université Lyon 1, Institut Camille Jordan CNRS UMR 5208 43, Boulevard Du 11 Novembre 1918, F-69622 Villeurbanne Cedex, FranceE-mail: jaligot@math.univ-lyon1.fr
Alexey Muranov
Affiliation:
Université de Lyon, Université Lyon 1, Institut Camille Jordan CNRS UMR 5208 43, Boulevard du 11 Novembre 1918, F-69622 Villeurbanne Cedex, FranceE-mail: muranov@math.univ-lyon1.fr, E-mail: azadeh@math.univ-lyon1.fr
Azadeh Neman
Affiliation:
Université de Lyon, Université Lyon 1, Institut Camille Jordan CNRS UMR 5208 43, Boulevard du 11 Novembre 1918, F-69622 Villeurbanne Cedex, FranceE-mail: muranov@math.univ-lyon1.fr, E-mail: azadeh@math.univ-lyon1.fr
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Abstract

In continuation of [JOH04, OH07], we prove that existentially closed CSA-groups have the independence property. This is done by showing that there exist words having the independence property relative to the class of torsion-free hyperbolic groups.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 14 , Issue 1 , March 2008 , pp. 88 - 98
Copyright
Copyright © Association for Symbolic Logic 2008

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