Construction of relative difference sets in \(p\)-groups

DOI10.1016/0012-365X(92)90034-DzbMath0777.05023OpenAlexW2014753221MaRDI QIDQ1196743

James A. Davis

Publication date: 16 January 1993

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(92)90034-d

zbMATH Keywords

relative difference sets

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Finite nilpotent groups, (p)-groups (20D15)

Related Items (13)

NON-BOOLEAN ALMOST PERFECT NONLINEAR FUNCTIONS ON NON-ABELIAN GROUPS ⋮ On \((p^ a,p,p^ a,p^{a-1})\)-relative difference sets ⋮ On \((p^ a,p^ b,p^ a,p^{a-b})\)-relative difference sets ⋮ A unifying construction for difference sets ⋮ Twisted product of cocycles and factorization of semi-regular relative difference sets ⋮ Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction ⋮ A note on products of relative difference sets ⋮ Constructions of partial difference sets and relative difference sets using Galois rings ⋮ Constructions of Butson Hadamard matrices invariant under abelian \(p\)-groups ⋮ G-perfect nonlinear functions ⋮ Constructions of low rank relative difference sets in 2-groups using Galois rings ⋮ On \((p^2,p,p^2,p)\)-difference sets in \(\mathbb{Z}_p^3\) ⋮ On the structure of Abelian groups admitting divisible difference sets

Cites Work

• A result on Dillon's conjecture in difference sets
• Proof of a conjecture on Hadamard 2-groups
• Character sums and difference sets
• On Automorphism Groups of Divisible Designs
• Relative difference sets

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