Property D for a group , where
and
, is the assertion that every sequence
of length
having no zero-sum subsequence of exactly
terms has the form
. Here
is the least length forcing such a subsequence, and
denotes
repetitions of one sequence
(Gao et al. 2007, p. 246).
In this form,
has no repeated terms. Equivalently, every element in the extremal sequence
occurs exactly
times. The assertion concerns sequences of maximum possible length, not merely ones
that cannot be extended.
Wang (2026) proved that
fails this property for every
, refuting its proposed validity for all
and
.