On sumsets of nonbases of maximum size

European Journal of Combinatorics（2023）

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摘要

Let G be a finite abelian group. A nonempty subset A in G is called a basis of order h if hA=G; when hA≠G, it is called a nonbasis of order h. Our interest is in all possible sizes of hA when A is a nonbasis of order h in G of maximum size; we provide the complete answer when h=2 or h=3.

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关键词

sumsets,nonbases,maximum size

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