On \((p^2,p,p^2,p)\)-difference sets in \(\mathbb{Z}_p^3\)

DOI10.1080/15598608.2012.647527zbMath1418.05034OpenAlexW2036501210MaRDI QIDQ2320744

Yutaka Hiramine

Publication date: 27 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2012.647527

zbMATH Keywords

group ringsplanar functionselementary abelian \(p\)-groupssemiregular relative difference sets

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Planar functions over finite fields
• A conjecture on affine planes of prime order
• A note on permutation polynomials and finite geometries
• A note on products of relative difference sets
• Construction of relative difference sets in \(p\)-groups
• Finite geometry and character theory
• Relative difference sets, planar functions, and generalized Hadamard matrices
• Relative \((p^a,p^b,p^a,p^{a - b})\)-difference sets in \(p\)-subgroups of \(\mathrm{SL}(n,K)\)

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