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.
| Autorius: | Stanley E. Payne, Ilaria Cardinali, |
| Serija: | Frontiers in Mathematics |
| Leidėjas: | Birkhäuser Basel |
| Išleidimo metai: | 2007 |
| Knygos puslapių skaičius: | 184 |
| ISBN-10: | 3764385073 |
| ISBN-13: | 9783764385071 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Discrete mathematics |
Parašykite atsiliepimą apie „q-Clan Geometries in Characteristic 2“
