English

Separable Subsets of GFERF Negatively Curved Groups

Group Theory 2007-05-23 v2

Abstract

A word hyperbolic group GG 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 GG.

Keywords

Cite

@article{arxiv.math/0502101,
  title  = {Separable Subsets of GFERF Negatively Curved Groups},
  author = {Ashot Minasyan},
  journal= {arXiv preprint arXiv:math/0502101},
  year   = {2007}
}

Comments

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