On the Multiplication Theorems of Hadamard Matrices of Generalized Quaternion Type Using \(M\)-Structures

Jennifer Seberry 1, Mieko Yamada2
1Department of Computer Science The University of Wollongong Wollongong, NSW, 2500 Australia
2Department of Mathematics Kyushu University Fukuoka 812 Japan

Abstract

We show that \(M\)-structures can be extended to Hadamard matrices of generalized quaternion type and obtain multiplication type theorems which preserve the structure.