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Orthomorphism Graphs of Groups

  • Book
  • © 1992

Overview

Authors:
  1. Anthony B. Evans
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1535)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    • Anthony B. Evans
    Pages 1-24

  3. Elementary abelian groups

    • Anthony B. Evans
    Pages 25-34

  4. Cyclotomic orthomorphisms

    • Anthony B. Evans
    Pages 35-49

  5. Automorphisms and translation nets

    • Anthony B. Evans
    Pages 50-56

  6. Further results

    • Anthony B. Evans
    Pages 57-76

  7. Data for small groups

    • Anthony B. Evans
    Pages 77-90

  8. Research directions

    • Anthony B. Evans
    Pages 91-104

  9. Back Matter

    Pages 105-114
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Orthomorphism Graphs of Groups

  • Authors: Anthony B. Evans

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0092363

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-56351-8Published: 14 December 1992

  • eBook ISBN: 978-3-540-47541-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 116

  • Topics: Group Theory and Generalizations, Discrete Mathematics

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