2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101060A word hyperbolic group $G$ is called GFERF if every quasiconvex subgroup coincides with the intersection of finite index subgroups containing it. We show that in any such group, the product of finitely many quasiconvex subgroups is closed in the profinite topology on $G$.10 pages. Final version: several minor typos were corrected and a few things added in the introductionGroup Theory20F67, 20E26text