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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© 1999 Springer-Verlag Berlin Heidelberg
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Bridson, M.R., Haefliger, A. (1999). Simple Complexes of Groups. In: Metric Spaces of Non-Positive Curvature. Grundlehren der mathematischen Wissenschaften, vol 319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12494-9_20
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DOI: https://doi.org/10.1007/978-3-662-12494-9_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08399-0
Online ISBN: 978-3-662-12494-9
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