About this book

Introduction

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 classification and in the general theory of finite generalized quadrangles, including automorphism groups, elation and translation generalized quadrangles, generalized ovals and generalized ovoids, span-symmetric generalized quadrangles, flock geometry and property (G), regularity and nets, split BN-pairs of rank 1, and the Moufang property.

Keywords

Geometrie Lenz-Barlotti-Klassifikation automorphism boundary element method character classification Finite geometry history of mathematics Morphism story symmetry theorem

Authors and affiliations

  • Koen Thas
    • 1
  1. 1.Ghent University Ghent

Bibliographic information

  • DOI https://doi.org/10.1007/b11797
  • Copyright Information Birkhäuser-Verlag Basel 2004
  • Publisher Name Birkhäuser Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7643-6158-7
  • Online ISBN 978-3-7643-7797-7
  • Series Print ISSN 1660-8046
  • About this book