The Geometry and Topology of Coxeter Groups. (LMS-32) (London Mathematical Society Monographs)
| Author | : | |
| Rating | : | 4.40 (891 Votes) |
| Asin | : | 0691131384 |
| Format Type | : | paperback |
| Number of Pages | : | 600 Pages |
| Publish Date | : | 2015-09-01 |
| Language | : | English |
DESCRIPTION:
"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. Anybody who reads (parts of) this book with an open mind will get a lot out of it."--Ralf Gramlich, Mathematical Reviews"The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory."--L'Enseignement Mathematique"An excellent introduction to other, important aspects of the study of geometric and topological approaches to group theory. I strongly recommend this book to anybody who has any interest in geometric group theory. Davis's exposition gives a deli
Michael W. Davis is professor of mathematics at Ohio State University.
Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.. 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. 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." The book describes the reflection group trick, one of the most pot
Five Stars Excellent book and excellent service!