Diagram Geometry

Related to Classical Groups and Buildings

AvFrancis Buekenhout,Arjeh M. Cohen

Inbunden, Engelska, 2013

Del i serien Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

1 180 kr

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Häftad

1 179 kr

Beskrivning

This book provides a self-contained introduction to diagram geometry. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. Group theorists will find examples of the use of diagram geometry.

Produktinformation

Utgivningsdatum:2013-01-27
Mått:155 x 235 x 38 mm
Vikt:1 052 g
Format:Inbunden
Språk:Engelska
Serie:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Antal sidor:594
Upplaga:2013
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642344527

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Recensioner i media

"An excellent introduction to diagram geometry and polar spaces for graduate students and researchers who want to get a flavour of the subject. For experts, the book provides a valuable source of references for basic results on diagram geometry. ... The authors give an alternative, more accessible approach to the classification and cover most important additional results." (Bernhard Muhlherr, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 117, 2015) "This book provides a self-contained introduction to diagram geometry and is accessible for graduate students. Each chapter ends with an extensive list of exercises, notes and references for further study. ... The book contains a wealth of information and is of interest to group theorists, graph theorists, and, of course, people interested in incidence and finite geometry. ... Highly recommended." (John van Bon, Nieuw Archief voor Wiskunde, December, 2014)

Innehållsförteckning

1. Geometries.- 2. Diagrams.- 3. Chamber Systems.- 4. Thin Geometries.- 5. Linear Geometries.- 6. Projective and Affine Spaces.- 7. Polar Spaces.- 8. Projective Embeddings of Polar Spaces.- 9. Embedding Polar Spaces in Absolutes.- 10. Classical Polar Spaces.- 11. Buildings.- Bibliography.- Index.