
q-Clan Geometries in Characteristic 2
Birkhäuser (Publisher)
Published on 16. August 2007
Book
Paperback/Softback
XIV, 166 pages
978-3-7643-8507-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
XIV, 166 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 11 mm
Weight
329 gr
ISBN-13
978-3-7643-8507-1 (9783764385071)
DOI
10.1007/978-3-7643-8508-8
Schweitzer Classification
Other editions
Additional editions

Ilaria Cardinali | Stanley E. Payne
q-Clan Geometries in Characteristic 2
E-Book
01/2008
1st Edition
Birkhäuser
€58.84
Available for download
Content
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.