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Download q-Clan Geometries in Characteristic 2 (Frontiers in Mathematics) by Ilaria Cardinali, Stanley E. Payne in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!
About q-Clan Geometries in Characteristic 2 (Frontiers in Mathematics)
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.
Detailed Information
Author: | Ilaria Cardinali, Stanley E. Payne |
---|---|
Publication Year: | 2007 |
ISBN: | 9783764385071 |
Pages: | 181 |
Language: | English |
File Size: | 1.793 |
Format: | |
Price: | FREE |
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