Diagram Geometries

by Antonio Pasini

Overview

Diagram geometry, which introduces a range of techniques that enable an interaction between group theory and geometry, allows the mathematician to get information on a multi-dimensional geometric object from some knowledge of bi-dimensional properties. This exceptional introduction to the subject provides a wealth of descriptions and examples, explains basic concepts, and details the language of diagram geometrics. It provides an expert development of diagram geometry theory as well as more advanced concepts and techniques. Practical and rigorous, Diagram Geometries is the ideal introduction to the subject for advanced students and researchers in group theory and combinatorics.

Product Details

ISBN-13:	9780198534976
Publisher:	Oxford University Press, USA
Publication date:	09/28/1994
Series:	Mathematical Monographs Series
Pages:	496
Product dimensions:	6.38(w) x 9.50(h) x 1.26(d)

Table of Contents

0. Prerequisties
1. Basic Concepts and Examples
2. More Examples
3. Diagrams and Orders
4. Diagram Graphs
5. Grassmann Geometries
6. Intersection Properties
7. Recovering eometries from Diagrams
8. Morphisms and Quotients
9. Automorphisms
10. Parabolic Systems
11. Amalgams
12. Universal Covers
13. Coxeter Diagrams
14. Cn and F4
15. L Cn-1 and more diagrams, Bibilography, Index

Editorial Reviews

"This is a book many people were waiting for. . . .contains a wealth of information. . . .recommended to students who like to work with diagram geometries." —Mathematical Reviews

From the Publisher