Displaying similar documents to “Groups – Additive Notation”

On additive bases II

Weidong Gao, Dongchun Han, Guoyou Qian, Yongke Qu, Hanbin Zhang (2015)

Acta Arithmetica

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Let G be an additive finite abelian group, and let S be a sequence over G. We say that S is regular if for every proper subgroup H ⊆ G, S contains at most |H|-1 terms from H. Let ₀(G) be the smallest integer t such that every regular sequence S over G of length |S| ≥ t forms an additive basis of G, i.e., every element of G can be expressed as the sum over a nonempty subsequence of S. The constant ₀(G) has been determined previously only for the elementary abelian groups. In this paper,...