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This book offers a complete proof of the Fundamental Theorem of q-Clan Geometry, followed by a detailed study of the known examples. It completely works out the collineation groups of the associated generalized quadrangles and the stabilizers of their associated ovals.
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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.
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.
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- PublisherBirkhäuser
- Publication date2007
- ISBN 10 3764385073
- ISBN 13 9783764385071
- BindingPaperback
- Number of pages180
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q-Clan Geometries in Characteristic 2 (Frontiers in Mathematics) by Cardinali, Ilaria, Payne, Stanley E. [Paperback ]
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Birkhäuser
(2007)
ISBN 10: 3764385073
ISBN 13: 9783764385071
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