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• # Artykuł - szczegóły

## Acta Arithmetica

2015 | 168 | 3 | 247-267

EN

### Abstrakty

EN
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 𝖼₀(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 𝖼₀(G) has been determined previously only for the elementary abelian groups. In this paper, we determine 𝖼₀(G) for some groups including the cyclic groups, the groups of even order, the groups of rank at least five, and all the p-groups except $G=C_p ⊕ C_{p^n}$ with n≥ 2.

247-267

wydano
2015

### Twórcy

autor
• Center for Combinatorics, Nankai University, Tianjin 300071, P.R. China
autor
• Center for Combinatorics, Nankai University, Tianjin 300071, P.R. China
autor
• Mathematical College, Sichuan University, Chengdu 610064, P.R. China
autor
• Department of Mathematics, Luoyang Normal University, Luoyang 471022, P.R. China
autor
• Center for Combinatorics, Nankai University, Tianjin 300071, P.R. China