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Preprint Number 660

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660. Rizos Sklinos
Torsion-free hyperbolic groups and the finite cover property

Submission date: 2 December 2013


We prove that the first order theory of non abelian free groups eliminates the “there exists infinitely many” quantifier (in eq). Equivalently, since the theory of non abelian free groups is stable, it does not have the finite cover property. We also extend our results to torsion-free hyperbolic groups under some conditions.

Mathematics Subject Classification:

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Full text arXiv 1312.0586: pdf, ps.

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