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Predeterminado Ebook: q-Clan Geometries in Characteristic 2 -- download full version of the book

*** Q-CLAN GEOMETRIES IN CHARACTERISTIC 2 ***
by Ilaria Cardinali, Stanley E. Payne



Click Here to Download this Ebook

Type: eBook
Released: 2007-00-00
Publisher:
Page Count: 175
Format: djvu
Language: English

Description:

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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