A q-clan with q a power of 2 is equivalent to a certain
generalized quadrangle with a family of subquadrangles each
associated with an oval in the Desarguesian plane of order 2. It is
also equivalent to a flock of a quadratic cone, and hence to a
line-spread of 3-dimensional projective space and thus to a
translation plane, and more. These geometric objects are tied
together by the so-called Fundamental Theorem of q-Clan Geometry.
The book gives a complete proof of this theorem, followed by a
detailed study of the known examples. The collineation groups of
the associated generalized quadrangles and the stabilizers of their
associated ovals are worked out completely.
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