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q-Clan Geometries in Characteristic 2
q-Clan Geometries in Characteristic 2
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q-Clan Geometries in Characteristic 2

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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.
ISBN
9783764385088
Språk
Engelska
Utgivningsdatum
2008-01-03
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