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Preprint Number 443
443. Zlil Sela
Free and Hyperbolic Groups are not Equational
Submission date: 23 April 2012.
We give an example of a definable set in every free or torsion-free (non-elementary) hyperbolic group that is not in the Boolean algebra of equational sets. Hence, the theories of free and torsion-free (non-elementary) hyperbolic groups are not equational in the sense of G. Srour.
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