Small partial Latin squares that embed in an infinite group but not into any finite group

DOI10.1016/j.jsc.2017.04.002zbMath1380.05019arXiv1705.02540OpenAlexW2610502221MaRDI QIDQ1680161

Heiko Dietrich, Ian M. Wanless

Publication date: 22 November 2017

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02540

zbMATH Keywords

finitely presented grouppartial Latin squareBaumslag groupgroup embedding

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (4)

Enumerating partial Latin rectangles ⋮ The finite embeddability property for IP loops and local embeddability of groups into finite IP loops ⋮ A historical perspective of the theory of isotopisms ⋮ Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results

Uses Software

• GAP
• Magma

Cites Work

• Latin trades in groups defined on planar triangulations
• The Magma algebra system. I: The user language
• Enumerating partial Latin rectangles
• Representing Subgroups of Finitely Presented Groups by Quotient Subgroups
• Small Partial Latin Squares that Cannot be Embedded in a Cayley Table
• Undecidability of representability as binary relations
• A non-cyclic one-relator group all of whose finite quotients are cyclic
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