Symmetry in Finite Generalized Quadrangles
Author | : Koen Thas |
Publisher | : Springer Science & Business Media |
Total Pages | : 246 |
Release | : 2004-01-26 |
ISBN-10 | : 3764361581 |
ISBN-13 | : 9783764361587 |
Rating | : 4/5 (587 Downloads) |
Download or read book Symmetry in Finite Generalized Quadrangles written by Koen Thas and published by Springer Science & Business Media. This book was released on 2004-01-26 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph classifies finite generalized quadrangles by symmetry, generalizing the celebrated Lenz-Barlotti classification for projective planes. The book introduces 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.