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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.
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.
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
Includes supplementary material: [...]
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.
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xiv
594 S. |
| ISBN-13: | 9783642344527 |
| ISBN-10: | 3642344526 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Cohen, Arjeh M.
Buekenhout, Francis |
| Hersteller: |
Springer Berlin
Springer Berlin Heidelberg |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 37 mm |
| Von/Mit: | Arjeh M. Cohen (u. a.) |
| Erscheinungsdatum: | 27.01.2013 |
| Gewicht: | 1,068 kg |
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
Includes supplementary material: [...]
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.
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xiv
594 S. |
| ISBN-13: | 9783642344527 |
| ISBN-10: | 3642344526 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Cohen, Arjeh M.
Buekenhout, Francis |
| Hersteller: |
Springer Berlin
Springer Berlin Heidelberg |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 37 mm |
| Von/Mit: | Arjeh M. Cohen (u. a.) |
| Erscheinungsdatum: | 27.01.2013 |
| Gewicht: | 1,068 kg |
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