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The Structure of Groups with a Quasiconvex Hierarchy

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Author(s): Daniel T. Wise
Series: Annals of Mathematics Studies 209
Publisher: Princeton University Press
Year: 2021

Language: English
Pages: xvi+358
Tags: Differential geometry; Geometric group theory

Contents
Acknowledgments
1. Introduction
2. CAT(0) Cube Complexes
3. Cubical Small-Cancellation Theory
4. Torsion and Hyperbolicity
5. New Walls and the B(6) Condition
6. Special Cube Complexes
7. Cubulations
8. Malnormality and Fiber-Products
9. Splicing Walls
10. Cutting X^∗
11. Hierarchies
12. Virtually Special Quotient Theorem
13. Amalgams of Virtually Special Groups
14. Large Fillings Are Hyperbolic and Preservationof Quasiconvexity
15. Relatively Hyperbolic Case
16. Largeness and Omnipotence
17. Hyperbolic 3-Manifolds with a Geometrically FiniteIncompressible Surface
18. Limit Groups and Abelian Hierarchies
19. Application Towards One-Relator Groups
20.Problems
References
Index