Buch, Englisch, 166 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 329 g
Reihe: Frontiers in Mathematics
Buch, Englisch, 166 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 329 g
Reihe: Frontiers in Mathematics
ISBN: 978-3-7643-8507-1
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
