Free and Hyperbolic Groups are not Equational

Details Free and Hyperbolic Groups are not Equational Free and Hyperbolic Groups are not Equational

2012-04-23

arxiv.org/abs/1204.5075v1

Mathematics

Logic

Scientific paper

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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