Weak hyperbolicity and free constructions
Abstract
The aim of this note is to show that weak relative hyperbolicity of a group relative to a subgroup (or relative hyperbolicity in the sense of Farb) does not imply any natural analogues of some wellknown algebraic properties of ordinary hyperbolic groups. Our main tools are combination theorems for weakly relatively hyperbolic groups.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2004
 arXiv:
 arXiv:math/0404074
 Bibcode:
 2004math......4074O
 Keywords:

 Group Theory;
 20F65;
 20F67;
 20F69
 EPrint:
 9 pages