q-Clan Geometries in Characteristic 2特征为2的q 氏族几何学

q-Clan Geometries in Characteristic 2特征为2的q 氏族几何学 pdf epub mobi txt 电子书 下载 2025

出版者:Birkhauser Verlag AG
作者:Cardinali, Ilaria
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页数:166
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出版时间:2007-10
价格:496.00元
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isbn号码:9783764385071
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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.

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