q-Clan Geometries in Characteristic 2 Paperback / softback
by Ilaria Cardinali, Stanley E. Payne
Part of the Frontiers in Mathematics series
Paperback / softback
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.
Information
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Item not Available
- Format:Paperback / softback
- Pages:166 pages, XIV, 166 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:16/08/2007
- Category:
- ISBN:9783764385071
Other Formats
- PDF from £42.49
Information
-
Item not Available
- Format:Paperback / softback
- Pages:166 pages, XIV, 166 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:16/08/2007
- Category:
- ISBN:9783764385071
