Groups whose locally maximal product-free sets are complete

Chimere S. Anabanti, Grahame Erskine, Sarah B. Hart

Let $G$ be a finite group and $S$ a subset of $G$. Then $S$ is product-free if $S\cap SS=\varnothing$, and complete if $G^{\ast }\subseteq S\cup SS$. A product-free set is locall…