On automorphism groups of divisible designs: II: Group invariant generalized conference matrices

DOI10.1007/BF01198118zbMath0659.05030MaRDI QIDQ1112043

Dieter Jungnickel

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

affine difference setrelative difference setsbalanced weighing matrixconference matricesgeneralized conference matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Finite affine and projective planes (geometric aspects) (51E15) Other designs, configurations (05B30) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (7)

The solution of the Waterloo problem ⋮ A multiplier theorem for projections of affine difference sets ⋮ Relative difference sets with \(n=2\) ⋮ Divisible difference families from Galois rings \(\mathrm{GR}(4,n)\) and Hadamard matrices ⋮ Some constructions of group divisible designs with Singer groups ⋮ Strongly regular semi-Cayley graphs ⋮ On divisible difference sets which are fixed by the inverse

Cites Work

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• An affine analogue of Wilbrink's theorem
• Affine difference sets of even order
• Multiplier theorems
• Intersection theorems for group divisible difference sets
• Rational G-matrices with rational eigenvalues
• Solvability of groups of odd order
• Some Aspects of Weighing Designs
• Orthogonal Matrices with Zero Diagonal
• Cyclic Affine Planes

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