One Variable Equations in Torsion-Free Hyperbolic Groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220977Let $Γ$ be a torsion-free hyperbolic group. We show that the set of solutions of any system of equations with one variable in $Γ$ is a finite union of points and cosets of centralizers if and only if any two-generator subgroup of $Γ$ is free.Group TheoryLogicOne Variable Equations in Torsion-Free Hyperbolic Groupstext