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q-Clan Geometries in Characteristic 2 (Frontiers in Mathematics) PDF

181 Pages·2007·1.793 MB·English
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by Ilaria Cardinali, Stanley E. Payne| 2007| 181 pages| 1.793| English

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:PDF
Price:FREE
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