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Maximal Sum-Free Sets in Elementary Abelian p-Groups
Published online by Cambridge University Press: 20 November 2018
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Given an additive group G and nonempty subsets S, T of G, let S+T denote the set ﹛s + t | s ∊ S, t ∊ T﹜, S the complement of S in G and |S| the cardinality of S. We call S a sum-free set in G if (S+S) ⊆ S. If, in addition, |S| ≥ |T| for every sum-free set T in G, then we call S a maximal sum-free set in G. We denote by λ(G) the cardinality of a maximal sum-free set in G.
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- Copyright © Canadian Mathematical Society 1971
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