Diagram Geometry: Related to Classical Groups and Buildings

Diagram Geometry: Related to Classical Groups and Buildings

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Hardcover, Springer Verlag, 2013, ISBN13 9783642344527, ISBN10 3642344526
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About this item

Important Made in USA Origin Disclaimer: For certain items sold by Walmart on Walmart.com, the displayed country of origin information may not be accurate or consistent with manufacturer information. For updated, accurate country of origin data, it is recommended that you rely on product packaging or manufacturer information.

This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings.

The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs.

The text is written so graduate students will be able to follow the arguments without needing recourse to further literature.

A strong point of the book is the density of examples.

Specifications

Number of Pages: 650
Original Languages: English
Author: Cohen, Arjeh M. ,  Buekenhout, Francis
Series Title: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics
Book Format: Hardcover
Publisher: Springer Verlag
ISBN-13: 9783642344527
Assembled Product Dimensions (L x W x H): 6.50 x 9.75 x 1.30 Inches
ISBN-10: 3642344526
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