By Koen Thas
This monograph classifies finite generalized quadrangles by way of symmetry, generalizing the distinguished Lenz-Barlotti class for projective planes. The booklet introduces combinatorial, geometrical and group-theoretical ideas that come up within the category and within the common concept of finite generalized quadrangles, together with automorphism teams, elation and translation generalized quadrangles, generalized ovals and generalized ovoids, span-symmetric generalized quadrangles, flock geometry and estate (G), regularity and nets, break up BN-pairs of rank 1, and the Moufang property.
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