Overview
- Contains many new results, not previously published anywhere else
- Proof of the main (classification) result is written and split up in such a way that many parts of it can be seen in their own right, and can be used independently
- Several open problems and longstanding conjectures are completely solved in the book, often by introducing new techniques which can be used in various other situations
Part of the book series: Frontiers in Mathematics (FM)
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Table of contents (16 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Symmetry in Finite Generalized Quadrangles
Authors: Koen Thas
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/b11797
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Basel 2004
Softcover ISBN: 978-3-7643-6158-7Published: 26 January 2004
eBook ISBN: 978-3-7643-7797-7Published: 24 March 2004
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: XXI, 214
Topics: Geometry, Convex and Discrete Geometry