Existence of generalized Latin squares which are not embeddable in any group

DOI10.1007/s10998-017-0197-9zbMath1399.05018OpenAlexW2736688081MaRDI QIDQ1705831

Huey Voon Chen, Angelina Yan Mui Chin

Publication date: 16 March 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-017-0197-9

zbMATH Keywords

partial Latin squaregeneralized Latin squareembeddability in a group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Orthogonal arrays, Latin squares, Room squares (05B15)

Cites Work

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• Embeddings of generalized Latin squares in finite groups
• Generalized Latin squares of order \(n\) with \(n^2-1\) distinct elements
• On two- and three-element subsets of groups
• On embedding incomplete symmetric Latin squares
• Small Partial Latin Squares that Cannot be Embedded in a Cayley Table

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