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

Jennifer Seberry1, 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.