Self-orthogonal semisymmetric quasigroups

DOI10.1016/0097-3165(82)90087-5zbMath0486.05016OpenAlexW1998950830MaRDI QIDQ1164632

Frank E. Bennett

Publication date: 1982

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(82)90087-5

zbMATH Keywords

latin squarescyclic-triple systems

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (4)

Self-orthogonal Mendelsohn triple systems ⋮ Quasigroups ⋮ Frame self-orthogonal Mendelsohn triple systems ⋮ Self-orthogonal cyclic n-quasigroups

Cites Work

• On semi-symmetric quasigroups
• Balanced incomplete block designs and related designs
• Extended cyclic triple systems
• Optimal packings of \(K_4\)'s into a \(K_n\)
• Orthogonal Steiner systems
• Construction of perpendicular Steiner quasigroups
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Self-orthogonal latin squares of all orders 𝑛≠2,3,6
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