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Beschreibung
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.
Details
| Verlag | Springer Basel |
| Ersterscheinung | 16. August 2007 |
| Maße | 24 cm x 17 cm |
| Gewicht | 329 Gramm |
| Format | Softcover |
| ISBN-13 | 9783764385071 |
| Seiten | 166 |
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