Proof of a conjecture on semiregular relative difference sets in \(\mathbb {Z}_{p^2} \times \mathbb {Z}_{p^2}\)

DOI10.1016/j.jcta.2006.05.006zbMath1107.05015OpenAlexW2076281738WikidataQ123138832 ScholiaQ123138832MaRDI QIDQ855843

Yutaka Hiramine

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.05.006

zbMATH Keywords

ringabelian \(p\)-group

Mathematics Subject Classification ID

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

Cites Work

• A unifying construction for difference sets
• On \((p^ a,p,p^ a,p^{a-1})\)-relative difference sets
• Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction
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