Free and Hyperbolic Groups are not Equational
Logic
2012-04-24 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.1204.5075,
title = {Free and Hyperbolic Groups are not Equational},
author = {Z. Sela},
journal= {arXiv preprint arXiv:1204.5075},
year = {2012}
}