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q-Clan Geometries in Characteristic 2

  • Format
  • E-bog, PDF
  • Engelsk
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Beskrivelse

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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Detaljer
  • SprogEngelsk
  • Udgivelsesdato07-01-2008
  • ISBN139783764385088
  • Forlag Springer
  • FormatPDF

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