Q Clan Geometries In Characteristic 2 rar (3764385073)

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Technical q-Clan Geometries in Characteristic 2

Posted on 2010-06-10

Name:	Technical q-Clan Geometries in Characteristic 2
ASIN/ISBN:	3764385073
Publisher:	Birkhäuser Basel 2007
Pages:	166 Pages
File size:	2 Mb
Publisher:	Birkhäuser Basel 2007
Pages:	166 Pages
ISBN:	3764385073
File Type:	PDF
File Size:	2 MB

Technical q-Clan Geometries in Characteristic 2

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q-Clan Geometries in Characteristic 2 By Ilaria Cardinali, Stanley E. Payne

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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