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Cocyclic Hadamard Matrices and Hadamard Groups Are Equivalent

✍ Scribed by D.L. Flannery

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 344 KB
Volume: 192
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6949

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✦ Synopsis

In this paper, we prove that the concepts of cocyclic Hadamard matrix and Hadamard group are equivalent. A general procedure for constructing Hadamard groups and classifying such groups on the basis of isomorphism type is given. To illustrate the ideas, cocyclic Hadamard matrices over dihedral groups are constructed and the corresponding Hadamard groups classified.

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