Submission date: 4 May 2012.

Abstract:

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.