Abstract
Given a short exact sequence of finitely generated groups 1 → K → G →H → 1 it is known that if K and G are word hyperbolic, and if K is nonelementary, then H is word hyperbolic. In the original examples due to Thurston, as well as later examples due to Bestvina and Feighn, the group H is elementary. We give a method for constructing examples where all three groups are nonelementary.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3447-3455 |
| Number of pages | 9 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 125 |
| Issue number | 12 |
| DOIs | |
| State | Published - 1997 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics