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

Heiko Dietrich, Ian M. Wanless

Suppose that $Y_1,Y_2,Y_3$ are finite sets and $P\subseteq Y_1\times Y_2\times Y_3$. We say that $P$ embeds in a group $G$ if there exist injective maps $ϕ_i\colon Y_i\rightarrow G…