Orthomorphism Graphs of Groups

1992
ISBN: 978-3-540-56351-8
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1535, 116 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 201 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Evans, Anthony B.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Operations Research Graphentheorie

Inhaltsverzeichnis

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