Sharp universal bounds for maximal sum-free subsets of finite abelian groups

Let $G$ be a finite abelian group of order $n$, and let $f_{\max}(G)$ denote the number of maximal sum-free subsets of $G$. Universal bounds conjecture. For every such group,

$$2^{n/7} \leq f_{\max}(G) \leq 2^{n/4+o(n)},$$

where both bounds are best possible.

The conjecture concerns the extremal number of maximal sum-free subsets across finite abelian groups. The source presents the bounds as conjectural and does not provide a resolution.