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Preprint Number 80

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80. Eric Jaligot, Alexey Muranov, and Azadeh Neman
Independence property and hyperbolic groups
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Submission date: 27 July 2007.


We prove that existentially closed CSA-groups have the independence property. This is done by showing that there exists words having the independence property relatively to the class of torsion-free hyperbolic groups. 

Mathematics Subject Classification: 03C45, 20F06, 20F67

Keywords and phrases: Independence property, small cancellation groups

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