Abstract
We show that for any n ∈ ℕ there exists a constant C(n) such that any n-generated group G which acts by isometries on a δ-hyperbolic space (with δ > 0) is either free or has a nontrivial element with translation length at most δC(n).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 95-121 |
| Number of pages | 27 |
| Journal | Geometriae Dedicata |
| Volume | 98 |
| Issue number | 1 |
| DOIs | |
| State | Published - Apr 2003 |
Keywords
- Free groups
- Group actions
- Hyperbolic spaces
- Nielsen methods
- ℝ-trees
ASJC Scopus subject areas
- Geometry and Topology