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q-Clan Geometries in Characteristic 2 (Paperback, 2007 ed.) Loot Price: R1,658
Discovery Miles 16 580
q-Clan Geometries in Characteristic 2 (Paperback, 2007 ed.): Ilaria Cardinali, Stanley E. Payne

q-Clan Geometries in Characteristic 2 (Paperback, 2007 ed.)

Ilaria Cardinali, Stanley E. Payne

Series: Frontiers in Mathematics

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Loot Price R1,658 Discovery Miles 16 580 | Repayment Terms: R155 pm x 12*

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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.

General

Imprint: Birkhauser Verlag AG
Country of origin: Switzerland
Series: Frontiers in Mathematics
Release date: August 2007
First published: 2007
Authors: Ilaria Cardinali • Stanley E. Payne
Dimensions: 240 x 170 x 9mm (L x W x T)
Format: Paperback
Pages: 166
Edition: 2007 ed.
ISBN-13: 978-3-7643-8507-1
Categories: Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN: 3-7643-8507-3
Barcode: 9783764385071

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