The structure of the abelian groups containing McFarland difference sets

DOI10.1016/0097-3165(95)90096-9zbMath0830.05013OpenAlexW2037132989MaRDI QIDQ1805061

Bernhard Schmidt, Siu Lun Ma

Publication date: 11 June 1995

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(95)90096-9

zbMATH Keywords

abelian groupSylow \(p\)-subgroupMcFarland difference set

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Abelian groups (20K99)

Related Items (4)

On \((p^ a,p^ b,p^ a,p^{a-b})\)-relative difference sets ⋮ A unifying construction for difference sets ⋮ A sharp exponent bound for McFarland difference sets with \(p=2\) ⋮ On abelian \((2^{2m+1}(2^{m - 1}+1),2^{m}(2^{m}+1),2^{m})\)-difference sets

Cites Work

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• Variations on a scheme of McFarland for noncyclic difference sets
• A result on Dillon's conjecture in difference sets
• Difference sets in Abelian 2-groups
• Proof of a conjecture on Hadamard 2-groups
• A nonexistence result for Abelian Menon difference sets using perfect binary arrays
• Character sums and difference sets
• Cyclic difference sets
• A family of difference sets in non-cyclic groups
• Constructions of Partial Difference Sets and Relative Difference Sets on p -Groups

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