TY - BOOK ID - 5452805 TI - Q-clan geometries in characteristic 2 AU - Cardinali, Ilaria AU - Payne, Stanley E. PY - 2007 SN - 9783764385071 3764385073 9786611179731 1281179736 3764385081 PB - Basel : Birkhäuser, DB - UniCat KW - Finite generalized quadrangles. KW - Automorphisms. KW - Automorphismes KW - Finite generalized quadrangles KW - Automorphisms KW - Algebra KW - Geometry KW - Mathematics KW - Physical Sciences & Mathematics KW - Generalized quadrangles, Finite KW - Quadrangles, Generalized finite KW - Mathematics. KW - Convex geometry. KW - Discrete geometry. KW - Convex and Discrete Geometry. KW - Combinatorial geometry KW - Math KW - Science KW - Group theory KW - Symmetry (Mathematics) KW - Finite geometries KW - Discrete groups. KW - Groups, Discrete KW - Infinite groups KW - Discrete mathematics KW - Convex geometry . UR - https://www.unicat.be/uniCat?func=search&query=sysid:5452805 AB - 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. The book will be a useful resource for all researchers working in the field of finite geometry, especially those interested in finite generalized quadrangles. It is of particular interest to those studying ovals in finite Desarguesian planes. . ER -