COCYCLIC HADAMARD-MATRICES AND HADAMARD GROUPS ARE EQUIVALENT

Authors
FLANNERY DL
Citation
Dl. Flannery, COCYCLIC HADAMARD-MATRICES AND HADAMARD GROUPS ARE EQUIVALENT, Journal of algebra, 192(2), 1997, pp. 749-779
Citations number
20
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of algebra → ACNP
ISSN journal
00218693
Volume
192
Issue
2
Year of publication
1997
Pages
749 - 779
Database
ISI
SICI code
0021-8693(1997)192:2<749:CHAHGA>2.0.ZU;2-#
Abstract
In this paper, we prove that the concepts of cocyclic Hadamard matrix and Hadamard group are equivalent. A general procedure for constructin g Hadamard groups and classifying such groups on the basis of isomorph ism type is given. To illustrate the ideas, cocyclic Hadamard matrices over dihedral groups are constructed and the corresponding Hadamard g roups classified. (C) 1997 Academic Press.