Symmetry in Finite Generalized Quadrangles

Thas Koen

ISBN 10: 3764361581 / ISBN 13: 9783764361587

Edité par Springer, 2004

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N° de réf. du vendeur 18358156

Détails bibliographiques

• Titre: Symmetry in Finite Generalized Quadrangles
• Éditeur: Springer
• Date de parution: 2004
• Langue: anglais
• ISBN à 10 chiffres: 3764361581
• ISBN à 13 chiffres: 9783764361587
• Reliure: Couverture souple
• État de l'article: New

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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.