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.

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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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Table of contents (7 chapters)

Front Matter

Introduction

Elementary abelian groups

Cyclotomic orthomorphisms

Automorphisms and translation nets

Further results

Data for small groups

Research directions

Back Matter

About this book