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Unitals in Projective Planes

Susan Barwick

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ISBN 10: 1441926194 / ISBN 13: 9781441926197
Published by Springer-Verlag New York Inc.
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Paperback. 196 pages. Dimensions: 9.2in. x 6.1in. x 0.5in.This book is a monograph on unitals embedded in finite projective planes. Unitals are key structures in projective planes, and have connections with other structures in algebra. They play a significant role in the classification of finite planes and provide a link between groups and geometries. There is a considerable number of research articles about 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. In addition, group theoretic characterizations of classical and Buekenhout-Metz unitals are catalogued and summarized in an appendix. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9781441926197

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Bibliographic Details

Title: Unitals in Projective Planes

Publisher: Springer-Verlag New York Inc.

Binding: Paperback

Book Condition: New

Book Type: Paperback

About this title

Synopsis:

This clearly written text is the first book on unitals embedded in finite projective planes. It provides a thorough survey of the research literature on embedded unitals. The book is well-structured with excellent diagrams and a comprehensive bibliography.

From the Back Cover:

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.

 

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