Abstract
In this chapter we describe a construction that allows one to build many interesting examples of group actions on complexes (12.18). This construction originates from the observation that if an action of a group G by isometries on a complex X has a strict fundamental domain42 Y, then one can recover X and the action of G directly from Y and the pattern of its isotropy subgroups. (The isotropy subgroups are organised into a simple complex of groups (12.11).)
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