2 problems

Let $G$ be an abelian group of odd order $g\geq 3$. A strong starter in $G$ is a starter whose pair sums are distinct and nonzero. Horton's conjecture. There is a strong starter in…

Let $n\geq 5$ be an odd integer. A strong starter in the cyclic group $\mathbb{Z}_n$ is a starter satisfying the additional distinct nonzero pair-sum condition defined in the paper…