Abstract
We show that if G is a non-elementary torsion-free word hyperbolic group then there exists another word hyperbolic group G*, such that G is a subgroup of G* but G is not quasiconvex in G*. We also prove that any non-elementary subgroup of a torsion-free word hyperbolic group G contains a free group of rank 2 which is malnormal and quasiconvex in G.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 461-486 |
| Number of pages | 26 |
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Volume | 127 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 1999 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics