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Calculation of cocyclic matrices

✍ Scribed by D.L. Flannery

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
456 KB
Volume
112
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES

A system of equations for describing coc
A system of equations for describing cocyclic Hadamard matrices
✍ V. Álvarez; J. A. Armario; M. D. Frau; P. Real πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 182 KB

## Abstract Given a basis ${\cal B} = \{f\_1,\ldots, f\_k\}$ for 2‐cocycles $f:G \times G \rightarrow \{\pm 1\}$ over a group __G__ of order $\vert G\vert=4t$, we describe a nonlinear system of 4__t__‐1 equations and __k__ indeterminates $x\_i$ over ${\cal Z}\_2, 1\leq i \leq k$, whose solutions de

Cocyclic Hadamard Matrices and Hadamard
Cocyclic Hadamard Matrices and Hadamard Groups Are Equivalent
✍ D.L. Flannery πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 344 KB

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 group

Cocyclic Orthogonal Designs and the Asym
Cocyclic Orthogonal Designs and the Asymptotic Existence of Cocyclic Hadamard Matrices and Maximal Size Relative Difference Sets with Forbidden Subgroup of Size 2
✍ Warwick de Launey; Michael J. Smith πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 477 KB

This paper contains a discussion of cocyclic Hadamard matrices, their associated relative difference sets, and regular group actions. Nearly all central extensions of the elementary abelian 2-groups by Z 2 are shown to act regularly on the associated group divisible design of the Sylvester Hadamard