q-Clan Geometries in Characteristic 2
Publication year: 2007
ISBN: 978-3-7643-8508-8
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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 complete oval stabilizers of each of the ovals associated with a flock GQ. A concise but logically complete introduction to the basic ideas is given. The theory of these flock GQ has evolved over the past two decades and has reached a level of maturation that makes it possible for the first time to give a satisfactory, unified treatment of all the known examples.
Subject: Mathematics and Statistics, Dimension, automorphism group, boundary element method, character, discrete geometry, fundamental theorem, geometry, object, proof, quadrangle, theorem
