Ilaria Cardinali, Stanley E. Payne

q-Clan Geometries in Characteristic 2 (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Basel
• Seitenzahl: 166
• Erscheinungstermin: 3. Januar 2008
• Englisch
• ISBN-13: 9783764385088
• Artikelnr.: 37397994

Autorenporträt

Ilaria Cardinali, Università di Siena, Italy / Stanley E. Payne, University of Colorado, Denver, CO, USA

Inhaltsangabe

q-Clans and Their Geometries.- The Fundamental Theorem.- Aut(GQ(C)).- The Cyclic q-Clans.- Applications to the Known Cyclic q-Clans.- The Subiaco Oval Stabilizers.- The Adelaide Oval Stabilizers.- The Payne q-Clans.- Other Good Stuff.