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- About this book
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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.
- Table of contents (16 chapters)
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Finite Generalized Quadrangles
Pages 1-14
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Elation Generalized Quadrangles, Translation Generalized Quadrangles and Flocks
Pages 15-30
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The Known Generalized Quadrangles
Pages 31-42
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Substructures of Finite Nets
Pages 43-50
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Symmetry-Class I: Generalized Quadrangles without Axes of Symmetry
Pages 51-56
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Symmetry in Finite Generalized Quadrangles
- Authors
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- Koen Thas
- Series Title
- Frontiers in Mathematics
- Copyright
- 2004
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Birkhäuser Basel
- eBook ISBN
- 978-3-7643-7797-7
- DOI
- 10.1007/b11797
- Softcover ISBN
- 978-3-7643-6158-7
- Series ISSN
- 1660-8046
- Edition Number
- 1
- Number of Pages
- XXI, 214
- Topics
