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.
