Cohomological characterization of relative hyperbolicity and combination theorem

Details Cohomological characterization of relative hyperbolicity and combination theorem Cohomological characterization of relative hyperbolicity and combination theorem

2007-10-24

arxiv.org/abs/0710.4426v1

Mathematics

Group Theory

21 pages, 1 figure

Scientific paper

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.

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