Ampleness in the free group
classification
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math.LO
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freegrouptheoryalgebraicampleamplenessclosuredescription
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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.
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