Symmetry in Finite Generalized Quadrangles

By Koen Thas

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.

• Format: Paperback
• Language: English
• ISBN: 3764361581
• ISBN13: 9783764361587
• Release Date: January 2004
• Publisher: Birkhauser
• Length: 214 Pages
• Weight: 1.02 lbs.
• Dimensions: 0.5" x 7.2" x 9.4"