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The Geometry and Topology of Coxeter Groups. (LMS-32)
Michael W. Davis
€ 162.43
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Description for The Geometry and Topology of Coxeter Groups. (LMS-32)
Hardback. Presents a comprehensive treatment of Coxeter groups from the viewpoint of geometric group theory. This book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincare Conjecture; and Gromov's theory of CAT(0) spaces and groups. Series: London Mathematical Society Monographs. Num Pages: 600 pages, 31 line illus. 3 tables. BIC Classification: PBG; PBM; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 241 x 166 x 37. Weight in Grams: 978.
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." ... Read more
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." ... Read more
Product Details
Format
Hardback
Publication date
2007
Publisher
Princeton University Press United States
Number of pages
602
Condition
New
Series
London Mathematical Society Monographs
Number of Pages
600
Place of Publication
New Jersey, United States
ISBN
9780691131382
SKU
V9780691131382
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Michael W. Davis
Michael W. Davis is professor of mathematics at Ohio State University.
Reviews for The Geometry and Topology of Coxeter Groups. (LMS-32)
"This book is one of those that grows with the reader: A graduate student can learn many properties, details and examples of Coxeter groups, while an expert can read about aspects of recent results in the theory of Coxeter groups and use the book as a guide to the literature. I strongly recommend this book to anybody who has any ... Read more