Diagram Geometry

• 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.

"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)