q-Clan Geometries in Characteristic 2

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...

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Autori principali: Cardinali, Ilaria, 19..-, Payne, Stanley E., 19..- (Autore), Payne, Stanley E. (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edizione:1st ed. 2007.
Serie:Frontiers in Mathematics
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Nota: L'impression du document génère 174 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• q-Clan Geometries in Characteristic 2, Texte imprimé, 9783764392154
• Q-clan geometries in characteristic 2, Ilaria Cardinali, Stanley E. Payne, Basel, Birkhäuser, 2007, 1 vol. (xiv-166 p.), Frontiers in mathematics, 978-3-7643-8507-1
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504 |a Bibliogr. Index 
505 1 |a 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. 
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520 |a 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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