The Structure of Groups with a Quasiconvex Hierarchy
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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
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