Article contents
Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groups
Published online by Cambridge University Press: 02 November 2004
Abstract
We show that the semi-direct product of a one-ended torsion-free word-hyperbolic group with $\integers$, given through an automorphism $\alpha{:}\, G \,{\to}\, G$, is a hyperbolic group relative to certain canonical subgroups of $G$ on which $\alpha$ acts periodically or with linear growth.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 3 , November 2004 , pp. 595 - 611
- Copyright
- © 2004 Cambridge Philosophical Society
- 4
- Cited by