bokomslag q-Clan Geometries in Characteristic 2
Vetenskap & teknik

q-Clan Geometries in Characteristic 2

Ilaria Cardinali Stanley E Payne

Pocket

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  • 166 sidor
  • 2007
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.
  • Författare: Ilaria Cardinali, Stanley E Payne
  • Format: Pocket/Paperback
  • ISBN: 9783764385071
  • Språk: Engelska
  • Antal sidor: 166
  • Utgivningsdatum: 2007-08-01
  • Förlag: Birkhauser Verlag AG