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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Príomhchruthaitheoir: Wise, Daniel T., 1971- (Údar)
Formáid: Licensed eBooks
Teanga:Béarla
Foilsithe / Cruthaithe: Princeton : Princeton University Press 2021.
Sraith:Annals of mathematics studies ; Number 209
Rochtain ar líne:https://www.jstor.org/stable/10.2307/j.ctv1574pr6
Clár na nÁbhar:
  • 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