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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Dettagli Bibliografici
Autore principale:	Wise, Daniel T., 1971- (Autore)
Natura:	Licensed eBooks
Lingua:	inglese
Pubblicazione:	Princeton : Princeton University Press 2021.
Serie:	Annals of mathematics studies ; Number 209
Accesso online:	https://www.jstor.org/stable/10.2307/j.ctv1574pr6

Sommario:

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

The structure of groups with a quasiconvex hierarchy /

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