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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| Format: | Book |
| Language: | English |
| Published: |
Basel : Boston ;
Birkhäuser,
2007
Basel : Birkhäuser, 2007 Basel : c2007 Basel : 2007 Basel ; Boston : ©2007 Basel ; Boston : c2007 Basel ; Boston : ©2007 |
| Series: | Frontiers in mathematics,
Frontiers in mathematics Frontiers in mathematics Frontiers in mathematics |
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| Summary: | 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 "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."--Jacket "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."--BOOK JACKET |
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| Item Description: | This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |
| Physical Description: | xiv, 166 p. : ill. ; 24 cm xiv, 166 p. ; 24 cm xiv, 166 pages : illustrations ; 24 cm xiv, 166 pages ; 24 cm |
| Bibliography: | Includes bibliographical references (p. [159]-164) and index Includes bibliographical references (pages [159]-164) and index |
| ISBN: | 3764385073 (pbk.) 3764385073 9783764385071 (pbk.) 9783764385071 |
| ISSN: | 1660-8054 |