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(Ebook) Q-Clan Geometries in Characteristic 2 by Ilaria Cardinali, Stanley E. Payne ISBN 9783764385071, 3764385073

  • SKU: EBN-987386
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Instant download (eBook) Q-Clan Geometries in Characteristic 2 after payment.
Authors:Ilaria Cardinali, Stanley E. Payne
Pages:175 pages.
Year:2007
Editon:1st edition
Publisher:Birkhäuser
Language:english
File Size:2.75 MB
Format:pdf
ISBNS:9783764385071, 3764385073
Categories: Ebooks

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(Ebook) Q-Clan Geometries in Characteristic 2 by Ilaria Cardinali, Stanley E. Payne ISBN 9783764385071, 3764385073

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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