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 ...

q-Clan Geometries in Characteristic 2 2007, Birkhauser, Basel, Switzerland

ISBN-13: 9783764385071

2007 edition

Trade paperback