Unitals in Projective Planes

  • Gary Ebert
  • Susan Barwick

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages 1-9
  2. Susan Barwick, Gary Ebert
    Pages 1-20
  3. Susan Barwick, Gary Ebert
    Pages 1-11
  4. Susan Barwick, Gary Ebert
    Pages 1-25
  5. Susan Barwick, Gary Ebert
    Pages 1-29
  6. Susan Barwick, Gary Ebert
    Pages 1-20
  7. Susan Barwick, Gary Ebert
    Pages 1-23
  8. Susan Barwick, Gary Ebert
    Pages 1-34
  9. Susan Barwick, Gary Ebert
    Pages 1-3
  10. Back Matter
    Pages 1-22

About this book

Introduction

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.

 

Keywords

algebra classification field linear algebra number theory

Authors and affiliations

  • Gary Ebert
  • Susan Barwick

There are no affiliations available

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-76366-8
  • Copyright Information Springer-Verlag New York 2008
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-76364-4
  • Online ISBN 978-0-387-76366-8
  • Series Print ISSN 1439-7382
  • About this book