q-Clan Geometries in Characteristic 2

• Main Authors: Cardinali, Ilaria (Author), Payne, Stanley E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Convex geometry.; Discrete geometry.; Convex and Discrete Geometry.

This monograph offers the only comprehensive, coherent treatment of the theory - in characteristic 2 - of the so-called flock quadrangles, i.e., those generalized quadrangles (GQ) that arise from q-clans, along with their associated ovals. Special attention is given to the determination of the compl...

Table of Contents:

• 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.