Titlebook: Infinite Group Actions on Polyhedra; Michael W. Davis Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license t

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https://doi.org/10.1007/978-3-031-48443-8nonpositively curved polyhedra; cube complexes; CAT (0) cube complex; polyhedral products; simple comple

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Michael W. DavisCovers the general theory of nonpositively curved cube complexes and special cube complexes of Haglund and Wise.Provides a unified treatment of general Coxeter groups, Artin groups and buildings.Descr

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Morse Theory and Bestvina–Brady Groupsosed aspherical manifold. In Sect. 7.4.2 we describe the examples of Leary–Nucinkis of virtually torsion-free groups . whose torsion-free subgroup is type F, yet . is not type .F. In Sect. 7.4.3 variations of Bestvina–Brady groups are used to get Leary’s construction of uncountably many groups of type FP.

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Book 2024. This monograph provides an account of this theory, along with other modern techniques in geometric group theory.. .Structured around the theme of group actions on contractible polyhedra, this book explores two prominent methods for constructing such actions: utilizing the group of deck transformat

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