Separable Subsets of GFERF Negatively Curved Groups

Mathematics – Group Theory

Scientific paper

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10 pages. Final version: several minor typos were corrected and a few things added in the introduction

Scientific paper

A 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 $G$.

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