Maximal sum-free sets in finite Abelian groups,III

The main result of this paper is the complete characterization of maximal sum-free sets in Abelian groups of order 3^mn(m ≥ 1) where every prime divisor p of n (if n > 1) is congruent to 1 modulo 3. A few previous results of the author on addition theorems of group theory are also sharpened and/or improved.