q-Clan Geometries in Characteristic 2
| Autor: | Cardinali, Ilaria Payne, Stanley E. |
|---|---|
| EAN: | 9783764385071 |
| Sachgruppe: | Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 184 |
| Produktart: | Kartoniert / Broschiert |
| Veröffentlichungsdatum: | 16.08.2007 |
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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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