Synopsis
In this self-contained monograph, finite generalized quadrangles are classified by symmetry, generalizing the celebrated Lenz--Barlotti classification for projective planes. It serves as an introduction to the combinatorial, geometrical, and group-theoretical concepts that arise in the classification and the general theory of finite generalized quadrangles. Several long-standing open problems are solved by using a mixture of geometrical, combinatorial, and group-theoretical arguments. Further, a conjectural classification program for all finite transaltion generalized quadrangles is decribed. The book will be useful to advanced graduate students and researchers in geometry, group theory, or algebraic combinatorics.
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Symmetry in Finite Generalized Quadrangles (Frontiers in Mathematics)
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Symmetry in Finite Generalized Quadrangles (Frontiers in Mathematics).
Edité par
Springer, 2008
ISBN 10 : 3764361581
ISBN 13 : 9783764361587
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Broschur, Gr.-8°
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Vendeur : ANTIQUARIAT Franke BRUDDENBOOKS, Lübeck, Allemagne
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Broschur, Gr.-8°. Etat : 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. N° de réf. du vendeur 669032
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Symmetry in Finite Generalized Quadrangles (Frontiers in Mathematics)
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Symmetry in Finite Generalized Quadrangles
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PF. Etat : New. N° de réf. du vendeur 6666-IUK-9783764361587
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Symmetry in Finite Generalized Quadrangles
Edité par
Springer, Basel, Birkhäuser Basel, Birkhäuser Jan 2004, 2004
ISBN 10 : 3764361581
ISBN 13 : 9783764361587
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 214 pp. Englisch. N° de réf. du vendeur 9783764361587
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Symmetry in Finite Generalized Quadrangles (Frontiers in Mathematics)
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : New. 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. Series: Frontiers in Mathematics. Num Pages: 214 pages, biography. BIC Classification: PBM. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 254 x 178 x 12. Weight in Grams: 424. . 2004. 2004th Edition. Paperback. . . . . N° de réf. du vendeur V9783764361587
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Symmetry in Finite Generalized Quadrangles
Edité par
Birkhäuser Basel, 2004
ISBN 10 : 3764361581
ISBN 13 : 9783764361587
Neuf
Kartoniert / Broschiert
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains many new results, not previously published anywhere elseProof 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 independentlySeveral open. N° de réf. du vendeur 5279297
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Symmetry in Finite Generalized Quadrangles (Frontiers in Mathematics)
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
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Etat : New. 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. Series: Frontiers in Mathematics. Num Pages: 214 pages, biography. BIC Classification: PBM. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 254 x 178 x 12. Weight in Grams: 424. . 2004. 2004th Edition. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9783764361587
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Symmetry in Finite Generalized Quadrangles
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Etat : New. pp. 240. N° de réf. du vendeur 26358150
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Symmetry in Finite Generalized Quadrangles
Edité par
Birkhäuser Basel, Birkhäuser Basel Jan 2004, 2004
ISBN 10 : 3764361581
ISBN 13 : 9783764361587
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 240 pp. Englisch. N° de réf. du vendeur 9783764361587
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