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...

詳細記述

書誌詳細
第一著者:	Wise, Daniel T., 1971- (著者)
フォーマット:	Licensed eBooks
言語:	英語
出版事項:	Princeton : Princeton University Press 2021.
シリーズ:	Annals of mathematics studies ; Number 209
オンライン･アクセス:	https://www.jstor.org/stable/10.2307/j.ctv1574pr6

目次:

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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