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AuthorEvans, Anthony B. author
TitleOrthomorphism Graphs of Groups [electronic resource] / by Anthony B. Evans
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1992
Connect tohttp://dx.doi.org/10.1007/BFb0092363
Descript VIII, 116 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Group theory Discrete mathematics Mathematics Group Theory and Generalizations Discrete Mathematics



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