The Geometry and Topology of Coxeter Groups. (LMS-32) [electronic resource]
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...
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| Online Access: |
Full Text (via ProQuest) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton University Press,
2012.
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| Series: | London Mathematical Society monographs.
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| Subjects: |
| Summary: | 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. |
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| Physical Description: | 1 online resource (601 pages). |
| ISBN: | 1283851288 9781283851282 9781400845941 1400845947 |