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Ilaria Cardinali, Stanley E. Payne - q-Clan Geometries in Characteristic 2, Häftad

Häftad, Engelska, 2007

q-Clan Geometries in Characteristic 2

Av Ilaria Cardinali, Stanley E. Payne

607 kr

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Beskrivning
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.
Produktinformation
  • Utgivningsdatum: 2007-08-16
  • Mått: 170 x 240 x 11 mm
  • Vikt: 329 g
  • Format: Häftad
  • Språk: Engelska
  • Serie: Frontiers in Mathematics
  • Antal sidor: 166
  • Upplaga: 2007
  • Förlag: Birkhauser Verlag AG
  • ISBN: 9783764385071
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