%0 Journal Article
%T Complexes of Groups and Boundaries
%A Alexandre Martin
%J Mathematics
%D 2012
%I arXiv
%R 10.2140/gt.2014.18.31
%X Given a complex of groups over a finite simplicial complex in the sense of Haefliger, we give conditions under which it is possible to build an EZ-structure in the sense of Farrell-Lafont for its fundamental group out of such structures for its local groups. As an application, we prove a combination theorem that yields a procedure for getting hyperbolic groups as fundamental groups of simple complexes of hyperbolic groups. The construction provides a description of the Gromov boundary of such groups.
%U http://arxiv.org/abs/1201.6249v1