Cocyclic Hadamard matrices and Hadamard groups are equivalent
From MaRDI portal
Publication:1360891
DOI10.1006/jabr.1996.6949zbMath0889.05032OpenAlexW2082156999MaRDI QIDQ1360891
Publication date: 11 June 1998
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/10a6e0181694686a4f4e837a9eefd9cfec8adaf4
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Homological methods in group theory (20J05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Extensions, wreath products, and other compositions of groups (20E22)
Related Items
A mixed heuristic for generating cocyclic Hadamard matrices ⋮ Quasi-Hadamard full propelinear codes ⋮ About a class of Hadamard propelinear codes ⋮ Generalized Hadamard full propelinear codes ⋮ Gröbner bases and cocyclic Hadamard matrices ⋮ Hadamard $$\mathbb{Z}_{2}\mathbb{Z}_{4}Q_{8}$$ -Codes: Rank and Kernel ⋮ Hadamard full propelinear codes of type Q; rank and kernel ⋮ Some REALLY beautiful Hadamard matrices ⋮ On equivalence of negaperiodic Golay pairs ⋮ Cocyclic Hadamard matrices over Latin rectangles ⋮ The cocyclic Hadamard matrices of order less than 40 ⋮ The shift action on 2-cocycles. ⋮ Non-splitting abelian \((4t,2,4t,2t)\) relative difference sets and Hadamard cocycles ⋮ Cocyclic Hadamard matrices and difference sets ⋮ On cocyclic weighing matrices and the regular group actions of certain Paley matrices ⋮ An introduction to cocyclic generalised Hadamard matrices ⋮ About some Hadamard full propelinear \((2t,2,2)\)-codes. Rank and kernel ⋮ Cocyclic orthogonal designs and the asymptotic existence of cocyclic Hadamard matrices and maximal size relative difference sets with forbidden subgroup of size 2 ⋮ Group algebra series and coboundary modules. ⋮ On Hadamard full propelinear codes with associated group \(C_{2t}\times C_2\) ⋮ Construction of relative difference sets and Hadamard groups ⋮ Computing 2-cocyeles for central extensions and relative difference sets ⋮ The homological reduction method for computing cocyclic Hadamard matrices ⋮ On D4t-Cocyclic Hadamard Matrices ⋮ On Hadamard property of a certain class of finite groups ⋮ Generalized binary arrays from quasi-orthogonal cocycles ⋮ On the asymptotic existence of cocyclic Hadamard matrices ⋮ On linear shift representations. ⋮ On higher dimensional cocyclic Hadamard matrices ⋮ Hadamard and conference matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cocyclic development of designs
- A weak difference set construction for higher dimensional designs
- On Hadamard groups
- On Hadamard groups. II
- Calculation of cocyclic matrices
- Cocyclic Hadamard matrices and difference sets
- REMARKS ON HADAMARD GROUPS
- The finite irreducible linear 2-groups of degree 4
