Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Frontiers in Mathematics (FM)
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Table of contents (9 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: q-Clan Geometries in Characteristic 2
Authors: Ilaria Cardinali, Stanley E. Payne
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-7643-8508-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
Softcover ISBN: 978-3-7643-8507-1Published: 16 August 2007
eBook ISBN: 978-3-7643-8508-8Published: 03 January 2008
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: XIV, 166
Topics: Convex and Discrete Geometry