Unitals in Projective Planes

This clearly written text is the first book on unitals embedded in finite projective planes. Unitals are key structures in square order projective planes, and have connections with other structures in algebra. They provide a link between groups and geometries. There is a considerable number of resea...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Barwick, Susan (Autor), Ebert, Gary (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Springer Monographs in Mathematics,
Temas:
Geometry.
Discrete mathematics.
Algebra.
Group theory.
Discrete Mathematics.
Group Theory and Generalizations.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Unitals in Projective Planes  |h [electronic resource] /  |c by Susan Barwick, Gary Ebert. 
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505 0 |a Preliminaries -- Hermitian Curves and Unitals -- Translation Planes -- Unitals Embedded in Desarguesian Planes -- Unitals Embedded in Non-Desarguesian Planes -- Combinatorial Questions and Associated Configurations -- Characterization Results -- Open Problems. 
520 |a This clearly written text is the first book on unitals embedded in finite projective planes. Unitals are key structures in square order projective planes, and have connections with other structures in algebra. They provide a link between groups and geometries. There is a considerable number of research articles concerning unitals, and there also exist many open problems. This book is a thorough survey of the research literature on embedded unitals which collects this material in book form for the first time. The book is aimed at graduate students and researchers who want to learn about this topic without reading all the original articles. The primary proof techniques used involve linear algebraic arguments, finite field arithmetic, some elementary number theory, and combinatorial enumeration. Some computer results not previously found in the literature also are mentioned in the text. The authors have included a comprehensive bibliography which will become an invaluable resource. Gary Ebert is Professor of Mathematics at the University of Delaware, USA. Susan Barwick is a Senior Lecturer of Mathematics at the University of Adelaide, Australia. . 
650 0 |a Geometry. 
650 0 |a Discrete mathematics. 
650 0 |a Algebra. 
650 0 |a Group theory. 
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650 2 4 |a Algebra. 
650 2 4 |a Group Theory and Generalizations. 
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