Some non-existence results on divisible difference sets

DOI10.1007/BF01375467zbMath0765.05018OpenAlexW2077481626MaRDI QIDQ1180404

K. T. Arasu, James A. Davis, Alexander Pott, Dieter Jungnickel

Publication date: 27 June 1992

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01375467

zbMATH Keywords

charactersmultipliersdifference setsabelian groupperfect square

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (6)

Reversible \((m,n,k,\lambda_ 1,\lambda_ 2)\)-abelian divisible difference sets with \(k-\lambda_ 1\) nonsquare ⋮ Divisible difference sets with multiplier -1 ⋮ On quasiregular collineation groups of projective planes ⋮ The Mann test for divisible difference sets ⋮ Abelian divisible difference sets with multiplier \(-1\) ⋮ On divisible difference sets which are fixed by the inverse

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• On a paper of Dembrowski and Ostrom
• Cyclic affine planes of even order
• Character sums and difference sets
• Partial Difference Sets
• Endliche Gruppen I
• The Inverse Multiplier for Abelian Group Difference Sets
• Cyclic Affine Planes
• Relative difference sets

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