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q-Clan Geometries in Characteristic 2特征为2的q 氏族几何学在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Cardinali, Ilaria 作者

Birkhauser Verlag AG

译者

2007-10 出版日期

166 页数

496.00元价格

丛书系列

9783764385071 图书编码

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q-Clan Geometries in Characteristic 2特征为2的q 氏族几何学在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

q-Clan Geometries in Characteristic 2特征为2的q 氏族几何学在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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q-Clan Geometries in Characteristic 2特征为2的q 氏族几何学在线电子书图书描述

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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