Maximal Zero-Sum-Free Set

A set having the largest number $k$ of distinct residue classes modulo $m$ so that no Subset has zero sum.

See also Maximal Sum-Free Set

References

Guy, R. K. ``Maximal Zero-Sum-Free Sets.'' §C15 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 129-131, 1994.