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Maximal sum-free sets in abelian groups of order divisible by three
Published online by Cambridge University Press: 17 April 2009
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A subset S of an additive group G is called a maximal sum-free set in G if (S+S) nS = Φ and |S| ≥ |T| for every sum-free set T in G. In this note, we prove a conjecture of Yap concerning the structure of maximal sum-free sets in finite abelian groups of order divisible by 3 but not divisible by any prime congruent to 2 modulo 3.
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- Copyright © Australian Mathematical Society 1972
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