Symmetry in Finite Generalized Quadrangles (Paperback)
Koen Thas
ISBN 10: 3764361581 ISBN 13: 9783764361587
Editorial: Birkhauser Verlag AG, Basel, 2004
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Paperback
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Descripción
Descripción:
Paperback. 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. A monograph that classifies finite generalized quadrangles by symmetry, generalizing the celebrated Lenz-Barlotti classification for projective planes. It introduces combinatorial, geometrical and group-theoretical concepts that arise in the classification and in the general theory of finite generalized quadrangles. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de ref. del artículo 9783764361587
Sinopsis:
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.
Reseña del editor:
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.
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Detalles bibliográficos
Título: Symmetry in Finite Generalized Quadrangles (...
Editorial: Birkhauser Verlag AG, Basel
Año de publicación: 2004
Encuadernación: Paperback
Condición: new
Edición: 1ª Edición
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Symmetry in Finite Generalized Quadrangles (Frontiers in Mathematics).
Publicado por
Springer, 2008
ISBN 10: 3764361581
ISBN 13: 9783764361587
Antiguo o usado
Broschur, Gr.-8°
Original o primera edición
Librería: ANTIQUARIAT Franke BRUDDENBOOKS, Lübeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Broschur, Gr.-8°. Condición: Gut. 2004. 240 S. Das Buch ist in gutem, sauberen Zustand. Einband minimal berieben / fleckig. Ecken und Kanten leicht bestossen. Aufkleber auf hinterem Innendeckel. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt:. 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. 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. ISBN: 9783764361587 Wir senden umgehend mit beiliegender MwSt.Rechnung. Sprache: Englisch Gewicht in Gramm: 454. Nº de ref. del artículo: 669032
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