On divisible difference sets which are fixed by the inverse

DOI10.1007/BF01189590zbMath0685.05008OpenAlexW2017838331MaRDI QIDQ1825873

Siu Lun Ma

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01189590

zbMATH Keywords

divisible difference set

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 (9)

Strongly regular Cayley graphs with \(\lambda-\mu=-1\) ⋮ Reversible \((m,n,k,\lambda_ 1,\lambda_ 2)\)-abelian divisible difference sets with \(k-\lambda_ 1\) nonsquare ⋮ Relative difference sets with \(n=2\) ⋮ Divisible difference sets with multiplier -1 ⋮ The Mann test for divisible difference sets ⋮ Symmetric divisible designs with \(k-\lambda{}_ 1=1\) ⋮ Some constructions of group divisible designs with Singer groups ⋮ Abelian divisible difference sets with multiplier \(-1\) ⋮ Almost difference sets and reversible divisible difference sets

Cites Work

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• Multiplier theorems
• Intersection theorems for group divisible difference sets
• Some non-existence results on divisible difference sets
• Abelian difference sets with multiplier minus one
• A family of difference sets in non-cyclic groups
• Relations Among Generalized Hadamard Matrices, Relative Difference Sets, and Maximal Length Linear Recurring Sequences
• Generalized Hadamard Matrices
• On Difference Sets Whose Parameters Satisfy a Certain Relation
• The Inverse Multiplier for Abelian Group Difference Sets
• Combinatorial Properties of Group Divisible Incomplete Block Designs
• Relative difference sets

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