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Infinite Group Actions on Polyhedra

In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory. Structured around the theme of grou...

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Hlavní autor: Davis, Michael W. (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing : Imprint: Springer, 2024.
Vydání:1st ed. 2024.
Edice:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 77
Témata:
Group theory.
Polytopes.
Manifolds (Mathematics).
Group Theory and Generalizations.
Manifolds and Cell Complexes.
On-line přístup:https://doi.org/10.1007/978-3-031-48443-8
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Obsah:
  • Part I: Introduction
  • 1 Introduction
  • Part II: Nonpositively curved cube complexes
  • 2 Polyhedral preliminaries
  • 3 Right-angled spaces and groups
  • Part III: Coxeter groups, Artin groups, buildings
  • 4 Coxeter groups, Artin groups, buildings
  • Part IV: More on NPC cube complexes
  • 5 General theory of cube complexes
  • 6 Hyperbolization
  • 7 Morse theory and Bestvina–Brady groups
  • Appendix A: Complexes of groups.

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