Snevily's conjecture about abelian groups

Aart Blokhuis

Snevily conjectures that given two subsets A and B of the same cardinality (k say) of a (finite) abelian group of odd order, there is a bijection f:A-›B, such that the set {a + f(a), a in A} (also) has cardinality k. We will give a small survey about what is known. In particular we will give a proof for the case that G is cyclic (a result of Dasgupta, Károlyi, Serra and Szegedy). Other authors include N. Alon, W.D. Gao and D.J. Wang.

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