English

A non-quasiconvexity embedding theorem for hyperbolic groups

Group Theory 2009-09-25 v1

Abstract

We show that if GG is a non-elementary torsion-free word hyperbolic group then there exists another word hyperbolic group GG^*, such that GG is a subgroup of GG^* but GG is not quasiconvex in GG^*.

Keywords

Cite

@article{arxiv.math/9704203,
  title  = {A non-quasiconvexity embedding theorem for hyperbolic groups},
  author = {Ilya Kapovich},
  journal= {arXiv preprint arXiv:math/9704203},
  year   = {2009}
}

Comments

AMS-TeX, 29 pages; figures are included is the Post-Script file