Complete $3$-term arithmetic progression free sets of small size in vector spaces and other abelian groups

Bence Csajbók, Zoltán Lóránt Nagy

A subset $S$ of an abelian group $G$ is called $3$-$\mathrm{AP}$ free if it does not contain a three term arithmetic progression. Moreover, $S$ is called complete $3$-$\mathrm{AP}$…