Geodesic
Maximal Sum-Free Sets in Elementary Abelian p-Groups
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 73-80

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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. 
Rhemtulla, A. H.; Street, Anne Penfold. Maximal Sum-Free Sets in Elementary Abelian p-Groups. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 73-80. doi: 10.4153/CMB-1971-014-2
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     author = {Rhemtulla, A. H. and Street, Anne Penfold},
     title = {Maximal {Sum-Free} {Sets} in {Elementary} {Abelian} {p-Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {73--80},
     year = {1971},
     volume = {14},
     number = {1},
     doi = {10.4153/CMB-1971-014-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-014-2/}
}
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