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Separable Subsets of GFERF Negatively Curved Groups

群论 2007-05-23 v2

摘要

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.

关键词

引用

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

备注

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