By Arjeh M. Cohen, Francis Buekenhout
This e-book presents a self-contained advent to diagram geometry. Tight connections with staff idea are proven. It treats skinny geometries (related to Coxeter teams) and thick structures from a diagrammatic viewpoint. Projective and affine geometry are major examples. Polar geometry is encouraged through polarities on diagram geometries and the entire class of these polar geometries whose projective planes are Desarguesian is given. It differs from Tits' complete remedy in that it makes use of Veldkamp's embeddings. The e-book intends to be a simple reference if you research diagram geometry. workforce theorists will locate examples of using diagram geometry. gentle on matroid thought is shed from the viewpoint of geometry with linear diagrams. these drawn to Coxeter teams and people attracted to structures will locate short yet self-contained introductions into those themes from the diagrammatic perspective. Graph theorists will locate many hugely general graphs. The textual content is written so graduate scholars could be capable of stick with the arguments with no need recourse to extra literature. a robust element of the ebook is the density of examples.