Difference Matrices, Generalized Hadamard Matrices and Orthomorphism Graphs Of Groups

Anthony B. Evans1
1Department of Mathematics & Statistics Wright State University Dayton, Ohio 45435

Abstract

Orthomorphism graphs of groups are defined and a correspondence, between cliques of orthomorphism graphs and difference matrices and generalized Hadamard matrices, is established. Some examples of orthomorphism graphs are given.
Also, for \(\lambda = 1\), known values and bounds for clique numbers of orthomorphism graphs of groups of small order are surveyed.