Geodesic
Solution to a problem of A. D. Sands
Glasgow mathematical journal, Tome 20 (1979) no. 2, pp. 115-117

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Let G be a finite additive abelian group, and suppose that A and B are subsets of G. We say that G = A⊕B if every element g ∈ G can be uniquely written in the form g = a + b, where a ∈ A, b ∈ B. The study of such decompositions (usually called factorizations in the literature) was initiated by G. Hájos [3] in connection with his solution to a problem of Minkowski in the geometry of numbers. 
Fraser, Owen H.; Gordon, Basil. Solution to a problem of A. D. Sands. Glasgow mathematical journal, Tome 20 (1979) no. 2, pp. 115-117. doi: 10.1017/S0017089500003803
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