Symmetry in Finite Generalized Quadrangles (Paperback)

Koen Thas

ISBN 10: 3764361581 / ISBN 13: 9783764361587

Edité par Birkhauser Verlag AG, Basel, 2004

Paperback. 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. A monograph that classifies finite generalized quadrangles by symmetry, generalizing the celebrated Lenz-Barlotti classification for projective planes. It introduces combinatorial, geometrical and group-theoretical concepts that arise in the classification and in the general theory of finite generalized quadrangles. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783764361587

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.

Détails bibliographiques

Titre : Symmetry in Finite Generalized Quadrangles (...
Éditeur : Birkhauser Verlag AG, Basel
Date d'édition : 2004
Reliure : Paperback
Etat : new
Edition : Edition originale