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|a 9783764377977
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|a 10.1007/b11797
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|a Thas, Koen.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 245 |
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|a Symmetry in Finite Generalized Quadrangles
|h [electronic resource] /
|c by Koen Thas.
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| 250 |
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|a 1st ed. 2004.
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| 264 |
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1 |
|a Basel :
|b Birkhäuser Basel :
|b Imprint: Birkhäuser,
|c 2004.
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| 300 |
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|a XXI, 214 p.
|b online resource.
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|a text
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|b PDF
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| 490 |
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|a Frontiers in Mathematics,
|x 1660-8046
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| 490 |
1 |
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|a Springer eBook Collection
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| 505 |
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|a Introduction: History, Motivation -- 1. Finite Generalized Quadrangles -- 2. Elation Generalized Quadrangles, Translation Generalized Quadrangles and Flocks -- 3. The Known Generalized Quadrangles -- 4. Substructures of Finite Nets -- 5. Symmetry Class I: Generalized Quadrangles with Axes of Symmetry -- 6. Symmetry Class II: Concurrent Axes of Symmetry in Generalized Quadrangles -- 7. Symmetry Class II: Span-Symmetric Generalized Quadrangles -- 8. Generalized Quadrangles with Distinct Translation Points -- 9. The Classification Theorem -- 10. Symmetry Class IV.3: TGQs which Arise from Flocks -- 11. A Characterization Theorem and a Classification Theorem -- 12. Symmetry Class V -- 13. Recapitulation of the Classification Theorem -- 14. Semi Quadrangles -- Appendices -- References.
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| 520 |
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|a 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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| 590 |
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|a Loaded electronically.
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| 590 |
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|a Electronic access restricted to members of the Holy Cross Community.
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| 650 |
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|a Geometry.
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| 650 |
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|a Convex geometry .
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| 650 |
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|a Discrete geometry.
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| 690 |
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|a Springer eBook Collection.
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