Orthomorphism graphs of groups

Bibliographic Information

Orthomorphism graphs of groups

Anthony B. Evans

(Lecture notes in mathematics, 1535)

Springer-Verlag, c1992

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Note

Bibliography: p. [105]-109

Includes index

Description and Table of Contents

Description

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.

Table of Contents

Elementary abelian groups.- Cyclotomic orthomorphisms.- Automorphisms and translation nets.- Further results.- Data for small groups.- Research directions.

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