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.
"synopsis" may belong to another edition of this title.
“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 Mühlherr, 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)"About this title" may belong to another edition of this title.
Shipping:
FREE
Within U.S.A.
Book Description Hardcover. Condition: new. Seller Inventory # 9783642344527
Book Description Condition: New. Seller Inventory # ABLIING23Mar3113020224716
Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9783642344527_lsuk
Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 608 pp. Englisch. Seller Inventory # 9783642344527
Book Description Condition: New. pp. 608. Seller Inventory # 2651453269
Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A basic reference book on diagram geometry Treats group theory, matroid theory, Coxeter goups and buildings from a diagrammatic perspective Graph theorists will find many highly regular graphs The book contains many examples. Seller Inventory # 5057617
Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783642344527
Book Description Hardcover. Condition: Brand New. 2013 edition. 605 pages. 9.75x6.50x1.30 inches. In Stock. Seller Inventory # x-3642344526
Book Description Condition: New. Print on Demand pp. 608 108 Illus. Seller Inventory # 57057930