Cohomological characterization of relative hyperbolicity and combination theorem

2007/10/24 by F. Gautero, Gautero, F., M. Heusener +1
Mathematics · #20F65 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20F65

paper · pdf · doi:10.48550/arxiv.0710.4426

21 pages, 1 figure

arxiv created 2007/10/24 · arxiv updated 2009/12/01

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.

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