The Geometry and Topology of Coxeter Groups

Name: The Geometry and Topology of Coxeter Groups
Brand: Springer
SKU: 9783031913020
Price: 12486.0 INR
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by Michael W. Davis

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ISBN13: 9783031913020
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: January 1, 2025
Pages: 605
Original Price: EUR 169.99
Language: English
Edition: 2nd Edition
Item Weight: 1107 grams
BISAC Subject(s): Algebra / Abstract

About The Book

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.

About The Author

Michael W. Davis received a PhD in mathematics from Princeton University in 1975. He was a Professor of Mathematics at Ohio State University for thirty-nine years, retiring in 2022 as Professor Emeritus. In 2015, he became a Fellow of the AMS. His research is in geometric group theory and topology. Since 1981, his work has focused on topics related to reflection groups including the construction of new examples of aspherical manifolds and the study of their properties.

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