The structure of groups with a quasiconvex hierarchy /

"This monograph weaves together fundamentals of Mikhail Leonidovich Gromov's hyperbolic groups with the theory of cube complexes dual to spaces with walls. Many fundamental new ideas and methodologies are presented here for the first time: A cubical small-cancellation theory generalizing i...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wise, Daniel T., 1971- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2021.
Colección:Annals of mathematics studies ; Number 209
Temas:
Hyperbolic groups.
Group theory.
Groupes hyperboliques.
Théorie des groupes.
MATHEMATICS / Group Theory
Group theory
Hyperbolic groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Acknowledgments
  • Chapter One Introduction
  • Chapter Two CAT(0) Cube Complexes
  • Chapter Three Cubical Small-Cancellation Theory
  • Chapter Four Torsion and Hyperbolicity
  • Chapter Five New Walls and the B(6) Condition
  • Chapter Six Special Cube Complexes
  • Chapter Seven Cubulations
  • Chapter Eight Malnormality and Fiber-Products
  • Chapter Nine Splicing Walls
  • Chapter Ten Cutting X ∗
  • Chapter Eleven Hierarchies
  • Chapter Twelve Virtually Special Quotient Theorem
  • Chapter Thirteen Amalgams of Virtually Special Groups
  • Chapter Fourteen Large Fillings Are Hyperbolic and Preservation of Quasiconvexity
  • Chapter Fifteen Relatively Hyperbolic Case
  • Chapter Sixteen Largeness and Omnipotence
  • Chapter Seventeen Hyperbolic 3-Manifolds with a Geometrically Finite Incompressible Surface
  • Chapter Eighteen Limit Groups and Abelian Hierarchies
  • Chapter Nineteen Application Towards One-Relator Groups
  • Chapter Twenty Problems
  • References
  • Index

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