rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Diagram Geometry
    sub title: Related to Classical Groups and Buildings
  name:
    name part: Buekenhout, Francis.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Cohen, Arjeh M.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 594 p. online resource.
  abstract: 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. .
  table of contents: 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.
  note: by Francis Buekenhout, Arjeh M. Cohen.
  subject:
    topic: Mathematics
  subject:
    topic: Geometry
  subject:
    topic: Mathematics
  subject:
    topic: Geometry
  classification: QA440-699
  classification: 516
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 57
  identifier: 9783642344534
  identifier: http://dx.doi.org/10.1007/978-3-642-34453-4
  record info:
    record creation date: 130125
    record change date: 20150520192546.0
    record identifier: 978-3-642-34453-4