ENGLISH

Symmetry in Finite Generalized Quadrangles

By Koen Thas (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2004
ISBN
978-3-7643-6158-7, 978-3-7643-7797-7
DOI
10.1007/b11797
Language
english
Format
PDF
Filesize
3 MB (2709919 bytes)
Series
Frontiers in Mathematics
Edition
1
Pages
214\192
Orientation
yes
Scanned
yes
Time added
2013-08-20 21:31:12
Geometry; Convex and Discrete Geometry

Description

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.

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