Description

Book Synopsis

Chapter 1. Introduction and preview.- Chapter 2. Some basic notions in geometric group theory.- Chapter 3. Coxeter groups.- Chapter 4. More combinatorics of Coxeter groups.- Chapter 5. The basic construction.- Chapter 6. Geometric reflection groups.- Chapter 7. The complex E.- Chapter 8. The algebraic topology of U and of E.- Chapter 9. The fundamental group and the fundamental group at infinity.- Chapter 10. Actions on manifolds.- Chapter 11. The reflection group trick.- Chapter 12. E is CAT(0).- Chapter 13. Rigidity.- Chapter 14. Free quotients and surface subgroups.- Chapter 15. Another look at (co)homology.- Chapter 16. The Euler characteristic.- Chapter 17. Growth series.- Chapter 18. Artin Groups.- Chapter 19. L2-Betti numbers of Artin groups.- Chapter 20. Buildings.- Chapter 21. Hecke - von Neumann algebras.- Chapter 22. Weighted L2- (co)homology.

The Geometry and Topology of Coxeter Groups

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    A Hardback by Michael W. Davis

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      Publisher: Springer
      Publication Date: 7/3/2025
      ISBN13: 9783031913020, 978-3031913020
      ISBN10: 3031913027
      Also in:
      Groups and group theory

      Description

      Book Synopsis

      Chapter 1. Introduction and preview.- Chapter 2. Some basic notions in geometric group theory.- Chapter 3. Coxeter groups.- Chapter 4. More combinatorics of Coxeter groups.- Chapter 5. The basic construction.- Chapter 6. Geometric reflection groups.- Chapter 7. The complex E.- Chapter 8. The algebraic topology of U and of E.- Chapter 9. The fundamental group and the fundamental group at infinity.- Chapter 10. Actions on manifolds.- Chapter 11. The reflection group trick.- Chapter 12. E is CAT(0).- Chapter 13. Rigidity.- Chapter 14. Free quotients and surface subgroups.- Chapter 15. Another look at (co)homology.- Chapter 16. The Euler characteristic.- Chapter 17. Growth series.- Chapter 18. Artin Groups.- Chapter 19. L2-Betti numbers of Artin groups.- Chapter 20. Buildings.- Chapter 21. Hecke - von Neumann algebras.- Chapter 22. Weighted L2- (co)homology.

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