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Symmetry in finite generalized quadrangles /

In this monograph finite generalized quadrangles are classified by symmetry, generalizing the celebrated Lenz-Barlotti classification for projective planes. The book is self-contained and serves as introduction to the combinatorial, geometrical and group-theoretical concepts that arise in the classi...

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Bibliographic Details
Main Author: Thas, Koen, 1977-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser, [2004]
Series:Frontiers in mathematics (Springer-Verlag)
Subjects:
Finite generalized quadrangles.
Symmetry.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction: History, Motivation
  • 1. Finite Generalized Quadrangles
  • 2. Elation Generalized Quadrangles, Translation Generalized Quadrangles and Flocks
  • 3. The Known Generalized Quadrangles
  • 4. Substructures of Finite Nets
  • 5. Symmetry Class I: Generalized Quadrangles with Axes of Symmetry
  • 6. Symmetry Class II: Concurrent Axes of Symmetry in Generalized Quadrangles
  • 7. Symmetry Class II: Span-Symmetric Generalized Quadrangles
  • 8. Generalized Quadrangles with Distinct Translation Points
  • 9. The Classification Theorem
  • 10. Symmetry Class IV. 3: TGQs which Arise from Flocks
  • 11. A Characterization Theorem and a Classification Theorem
  • 12. Symmetry Class V
  • 13. Recapitulation of the Classification Theorem
  • 14. Semi Quadrangles
  • Appendices
  • References.