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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Michael W. Davisand validation of the technologies presented via several lar.Knowledge and information are among the biggest assets of enterprises and organizations. However, efficiently managing, maintaining, accessing, and reusing this intangible treasure is difficult. Information overload makes it difficult to f

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Polyhedral Preliminarieso be isometric to a convex polytope in a space of constant curvature .. As . such metrics are called, respectively, piecewise hyperbolic, piecewise euclidean, or piecewise spherical. A geodesic metric space is . if geodesic triangles in it satisfy Gromov’s comparison inequality of Cartan, Aleksandro

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Right-Angled Spaces and Groupsefine the main examples of complexes and groups that are discussed in this book. If . is a flag complex and . indexes a collection of copies of the infinite cyclic group, then the polyhedral product is the standard classifying space for the “right-angled Artin group” (abbreviated as RAAG) associated

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Coxeter Groups, Artin Groups, Buildingsps, and chamber-transitive automorphism groups of buildings. In each case the group acts on an associated polyhedron. In the case of a Coxeter system the polyhedron is called the “Davis–Moussong complex;” in case of an Artin group it is the “Deligne complex;” and in the case of a building it is the

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