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Preprint Number 457

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457. Abderezak Ould Houcine, Katrin Tent
Ampleness in the free group

Submission date: 4 May 2012.


We show that the theory of the free group -- and more generally the theory of any torsion-free hyperbolic group -- is n-ample for any n\geq 1. We give also an explicit description of the imaginary algebraic closure in free groups.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1205.0929: pdf, ps.

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