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Qclan Geometries In Characteristic 2 1st Edition Ilaria Cardinali

  • SKU: BELL-987386
Qclan Geometries In Characteristic 2 1st Edition Ilaria Cardinali
$ 31.00 $ 45.00 (-31%)

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Qclan Geometries In Characteristic 2 1st Edition Ilaria Cardinali instant download after payment.

Publisher: Birkhäuser
File Extension: PDF
File size: 2.75 MB
Pages: 175
Author: Ilaria Cardinali, Stanley E. Payne
ISBN: 9783764385071, 3764385073
Language: English
Year: 2007
Edition: 1st edition

Product desciption

Qclan Geometries In Characteristic 2 1st Edition Ilaria Cardinali by Ilaria Cardinali, Stanley E. Payne 9783764385071, 3764385073 instant download after payment.

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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