Complexes of groups and orbihedra. (English) Zbl 0858.57013

Ghys, É. (ed.) et al., Group theory from a geometrical viewpoint. Proceedings of a workshop, held at the International Centre for Theoretical Physics in Trieste, Italy, 26 March to 6 April 1990. Singapore: World Scientific. 504-540 (1991).
This paper deals with the extension of the theory of graphs of groups to the higher dimensional case of complexes of groups. The main result provides a sufficient condition for a complex of groups to be developable. The connection between the concepts of complex of groups and the orbihedron structure is pointed out.
For the entire collection see [Zbl 0809.00017].
Reviewer: D.Motreanu (Iaşi)


57M60 Group actions on manifolds and cell complexes in low dimensions
57N60 Cellularity in topological manifolds