Overlarge sets of resolvable idempotent quasigroups

DOI10.1016/j.disc.2012.01.008zbMath1234.05045OpenAlexW2019923763MaRDI QIDQ408186

Antoinette Tripodi, Junling Zhou, Giovanni Lo Faro, Yan Xun Chang

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.disc.2012.01.008

zbMATH Keywords

idempotentquasigrouppairwise balanced designtransversaloverlarge setorthogonal

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Triple systems (05B07)

Cites Work

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• Large sets of resolvable idempotent Latin squares
• The existence of overlarge sets of idempotent quasigroups
• On large sets of disjoint Steiner triple systems. VI
• A tripling construction for overlarge sets of KTS
• On large sets of disjoint Steiner triple systems. III
• A completion of Lu's determination of the spectrum for large sets of disjoint Steiner triple systems
• Large sets of oriented triple systems with resolvability
• New results on large sets of Kirkman triple systems
• P3BD-closed sets
• Further Results on Large Sets of Resolvable Idempotent Latin Squares
• On Quadruple Systems

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