Orthomorphism Graphs of Groups [electronic resource] / by Anthony B. Evans.

By:

Evans, Anthony B [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1535Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992Description: VIII, 116 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540475415

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

512.2 23

LOC classification:

QA174-183

Online resources:

Click here to access online

Contents:

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

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

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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