Cohomological characterization of relative hyperbolicity and combination theorem
Group Theory
2007-10-25 v1
Abstract
We give a cohomological characterization of Gromov relative hyperbolicity. As an application we prove a converse to the combination theorem for graphs of relatively hyperbolic groups given in a previous paper of the first author. We build upon, and follow the ideas of, the work of S. Gersten in ``Cohom. lower bounds for isoperim. funct. on groups'' (Topology 37, 1998) about the same topics in the classical Gromov hyperbolic setting.
Cite
@article{arxiv.0710.4426,
title = {Cohomological characterization of relative hyperbolicity and combination theorem},
author = {F. Gautero and M. Heusener},
journal= {arXiv preprint arXiv:0710.4426},
year = {2007}
}
Comments
21 pages, 1 figure