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Diagram Geometry Related to Classical Groups and Buildings /

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 motiva...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Buekenhout, Francis (Autor), Cohen, Arjeh M. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 57
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.