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Symmetry in Finite Generalized Quadrangles
Paperback
Series: Frontiers in Mathematics
ISBN13: 9783764361587
Publisher: Birkhauser
Published: Jan 26 2004
Pages: 214
Weight: 1.02
Height: 0.47 Width: 7.23 Depth: 9.42
Language: English
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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