Q-Clan geometries in characteristic 2

Autori

• Ilaria Cardinali

Parametri

• 166 pagine
• 6 ore di lettura

• Matematica

Maggiori informazioni sul libro

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.

Lingua: Inglese

Pubblicato: 2007

(In brossura)