Orthomorphism Graphs of Groups

  • Authors
  • Anthony¬†B.¬†Evans
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1535)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Anthony B. Evans
    Pages 1-24
  3. Anthony B. Evans
    Pages 25-34
  4. Anthony B. Evans
    Pages 35-49
  5. Anthony B. Evans
    Pages 50-56
  6. Anthony B. Evans
    Pages 57-76
  7. Anthony B. Evans
    Pages 77-90
  8. Anthony B. Evans
    Pages 91-104
  9. Back Matter
    Pages 105-114

About this book

Introduction

This book is about orthomorphisms and complete mappings of groups, and related constructions of orthogonal latin squares. It brings together, for the first time in book form, many of the results in this area. The aim of this book is to lay the foundations for a theory of orthomorphism graphsof groups, and to encourage research in this area. To this end, many directions for future research are suggested. The material in this book should be accessible to any graduate student who has taken courses in algebra (group theory and field theory). It will mainly be useful in research on combinatorial design theory, group theory and field theory.

Keywords

Graph Group theory Orthomorphism complete mapping latin square net projective plane

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0092363
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56351-8
  • Online ISBN 978-3-540-47541-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book