Weak hyperbolicity and free constructions
Group Theory
2007-05-23 v1
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 well-known algebraic properties of ordinary hyperbolic groups. Our main tools are combination theorems for weakly relatively hyperbolic groups.
Keywords
Cite
@article{arxiv.math/0404074,
title = {Weak hyperbolicity and free constructions},
author = {D. V. Osin},
journal= {arXiv preprint arXiv:math/0404074},
year = {2007}
}
Comments
9 pages; to appear in Contemp. Math