Symmetry in Finite Generalized Quadrangles

Koen Thas

ISBN 10: 3764361581 / ISBN 13: 9783764361587

Edité par Birkhäuser Basel, 2004

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9783764361587

Détails bibliographiques

• Titre: Symmetry in Finite Generalized Quadrangles
• Éditeur: Birkhäuser Basel
• Date de parution: 2004
• Langue: anglais
• ISBN à 10 chiffres: 3764361581
• ISBN à 13 chiffres: 9783764361587
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 254 L x 178 H x 14 P (en millimètres) 254 millimètres de largeur par 178 millimètres de hauteur par 14 millimètres de profondeur
• Poids: 460 grammes

A propos de ce titre

Synopsis

In this self-contained monograph, finite generalized quadrangles are classified by symmetry, generalizing the celebrated Lenz--Barlotti classification for projective planes. It serves as an introduction to the combinatorial, geometrical, and group-theoretical concepts that arise in the classification and the general theory of finite generalized quadrangles. Several long-standing open problems are solved by using a mixture of geometrical, combinatorial, and group-theoretical arguments. Further, a conjectural classification program for all finite transaltion generalized quadrangles is decribed. The book will be useful to advanced graduate students and researchers in geometry, group theory, or algebraic combinatorics.