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.
General
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