Diagram Geometry

Related to Classical Groups and Buildings

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Diagram Geometry by Francis Buekenhout, Arjeh M. Cohen, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Francis Buekenhout, Arjeh M. Cohen ISBN: 9783642344534
Publisher: Springer Berlin Heidelberg Publication: January 26, 2013
Imprint: Springer Language: English
Author: Francis Buekenhout, Arjeh M. Cohen
ISBN: 9783642344534
Publisher: Springer Berlin Heidelberg
Publication: January 26, 2013
Imprint: Springer
Language: English

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.

 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

 

More books from Springer Berlin Heidelberg

Cover of the book Physical Properties of Nanorods by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Atlas of Scar Treatment and Correction by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Minimal Residual Disease and Circulating Tumor Cells in Breast Cancer by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Energy Economics and Financial Markets by Francis Buekenhout, Arjeh M. Cohen
Cover of the book fMRI by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Minimizing Incisions and Maximizing Outcomes in Cataract Surgery by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Material Cycling of Wetland Soils Driven by Freeze-Thaw Effects by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Neuropathology by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Thrombolytic Therapy in Acute Ischemic Stroke by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Terrestrial Heat Flow and the Lithosphere Structure by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Disposable Bioreactors II by Francis Buekenhout, Arjeh M. Cohen
Cover of the book After the Destruction of Giant Buddha Statues in Bamiyan (Afghanistan) in 2001 by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Plastic Surgery in the Sexually Handicapped by Francis Buekenhout, Arjeh M. Cohen
Cover of the book House Rating Schemes by Francis Buekenhout, Arjeh M. Cohen
Cover of the book Plasma Physics for Controlled Fusion by Francis Buekenhout, Arjeh M. Cohen
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy