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arXiv · 1204.5075

Free and Hyperbolic Groups are not Equational

Z. Sela
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Abstract

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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Z. Sela. 2012-04-23. Free and Hyperbolic Groups are not Equational. https://arxiv.org/abs/1204.5075

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