Overview

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 these techniques 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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9780198534976

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`This is a book many people were waiting for. ... It is a very well-written introduction to the abstract theory of diagram geometries ... recommended to students who like to work with diagram geometries.' Germot Stroth, Mathematical Reviews, Issue 96f. `a carefully written, detailed yet concise exposition' Monatshefte fur Mathematik Vol. 124

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<br>

`This is a book many people were waiting for. ... It is a very well-written introduction to the abstract theory of diagram geometries ... recommended to students who like to work with diagram geometries.' Germot Stroth, Mathematical Reviews, Issue 96f. `a carefully written, detailed yet concise exposition' Monatshefte fur Mathematik Vol. 124

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