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Cocyclic Hadamard Matrices and Hadamard Groups Are Equivalent
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 onExpand
The Finite Irreducible Monomial Linear Groups of Degree 4
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 ofExpand
Algebraic Design Theory
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 theseExpand
Finite irreducible linear 2-groups of degree 4
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
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 andExpand
NILPOTENT PRIMITIVE LINEAR GROUPS OVER FINITE FIELDS
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
TLDR
We prove that the existence of a cocyclic Hadamard matrix of order 4t is equivalent to normal relative difference set with parameters (4,2,4t,2t) . Expand
Calculation of cocyclic matrices
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 elementExpand
Computing 2-cocyeles for central extensions and relative difference sets
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 ofExpand
Transgression and the calculation of cocyclic matrices
  • D. Flannery
  • Mathematics, Computer Science
  • Australas. J Comb.
  • 1995
TLDR
We present a general method of calculating cocyclic matrices as the Hadamard product of certain matrices using the Universal Coefficient Theorem. Expand
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