【摘 要】
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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 (c) G, S contains at most |H|-
【机 构】
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CenterforCombinatorics,NankaiUniversity,Tianjin300071,P.R.China
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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 (c) G, S contains at most |H|-1terms 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 a sum over a nonempty subsequence of S.We determine c0(G) for some groups including the cyclic groups, the groups of order even, the groups of rank at least five, and all the p-groups except G =Cp (○) Cpn with n ≥ 2.
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