Geometry & Topology
- Geom. Topol.
- Volume 18, Number 1 (2014), 31-102.
Non-positively curved complexes of groups and boundaries
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 –structure in the sense of Farrell and 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.
Geom. Topol., Volume 18, Number 1 (2014), 31-102.
Received: 22 February 2012
Revised: 20 March 2013
Accepted: 16 July 2013
First available in Project Euclid: 20 December 2017
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Martin, Alexandre. Non-positively curved complexes of groups and boundaries. Geom. Topol. 18 (2014), no. 1, 31--102. doi:10.2140/gt.2014.18.31. https://projecteuclid.org/euclid.gt/1513732719