Diagram Geometries

Hardcover | July 1, 1995

byAntonio Pasini

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Diagram geometry provides a range of techniques that enable an interaction between group theory and geometry. These techniques allow the mathematician to get information on a multi-dimensional geometric object from some knowledge of its bi-dimensional properties. This book introduces thesetechniques and provides a survey of the development of the subject of diagram geometry.The first three chapters are descriptive; a number of examples are presented, basic concepts are explained, and the reader is introduced to the language of diagram geometries.The theory is developed in the next three chapters and in chapter 7 a number of characterizations are proved. This is continued in later chapters following a survey of more advanced concepts and techniques.

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Diagram geometry provides a range of techniques that enable an interaction between group theory and geometry. These techniques allow the mathematician to get information on a multi-dimensional geometric object from some knowledge of its bi-dimensional properties. This book introduces thesetechniques and provides a survey of the devel...

Antonio Pasini is at University of Siena.
Format:HardcoverDimensions:496 pages, 9.21 × 6.14 × 1.26 inPublished:July 1, 1995Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198534973

ISBN - 13:9780198534976

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Table of Contents

0. Prerequisties1. Basic Concepts and Examples2. More Examples3. Diagrams and Orders4. Diagram Graphs5. Grassmann Geometries6. Intersection Properties7. Recovering eometries from Diagrams8. Morphisms and Quotients9. Automorphisms10. Parabolic Systems11. Amalgams12. Universal Covers13. Coxeter Diagrams14. Cn and F415. L Cn-1 and more diagrams, Bibilography, Index

Editorial Reviews

`a carefully written, detailed yet concise exposition'Monatshefte fur Mathematik Vol. 124