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Cocyclic Hadamard Matrices and Hadamard Groups Are Equivalent

- D. Flannery
- Mathematics
- 15 June 1997

Abstract 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… Expand

The Finite Irreducible Monomial Linear Groups of Degree 4

- D. Flannery
- Mathematics
- 15 August 1999

Abstract This paper contains an irredundant listing of the finite irreducible monomial subgroups of GL(4, C ). The groups are listed up to conjugacy and are given explicitly by generating sets of… Expand

Algebraic Design Theory

- W. D. Launey, D. Flannery
- Mathematics
- 27 July 2011

Combinatorial design theory is a source of simply stated, concrete, yet difficult discrete problems, with the Hadamard conjecture being a prime example. It has become clear that many of these… Expand

Finite irreducible linear 2-groups of degree 4

- D. Flannery
- Mathematics
- 1 August 1993

Introduction Preliminaries The isomorphism question The case $T=V_4$ The case $T=C$ The case $T=D$ Full solutions Schur indices References.

Computing in Nilpotent Matrix Groups

- A. Detinko, D. Flannery
- Mathematics
- 2006

We present algorithms for testing nilpotency of matrix groups over finite fields, and for deciding irreducibility and primitivity of nilpotent matrix groups. The algorithms also construct modules and… Expand

NILPOTENT PRIMITIVE LINEAR GROUPS OVER FINITE FIELDS

- A. Detinko, D. Flannery
- Mathematics
- 23 February 2005

ABSTRACT We provide a detailed structural description of the nilpotent primitive subgroups of GL(n, 𝔽), where 𝔽 is a finite field.

Cocyclic Hadamard matrices and difference sets

- W. D. Launey, D. Flannery, K. Horadam
- Computer Science, Mathematics
- Discret. Appl. Math.
- 15 May 2000

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Calculation of cocyclic matrices

- D. Flannery
- Mathematics
- 28 October 1996

Abstract In this paper we provide a method of explicitly determining, for a given finite group G and finitely generated G -module U trivial under the action of G , a representative for each element… Expand

Computing 2-cocyeles for central extensions and relative difference sets

- D. Flannery, E. O'Brien
- Mathematics
- 1 January 2000

We present an algorithm to compute H 2(G,U) for a finite group G and finite abelian group U (trivial G-module). The algorithm returns a generating set for the second cohomology group in terms of… Expand

Transgression and the calculation of cocyclic matrices

- D. Flannery
- Mathematics, Computer Science
- Australas. J Comb.
- 1995

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