Let S be a subset of an additive finite abelian group, and  denote the sumset of S, which is defined as the set of nonempty subset sums of S. In this paper, we prove that if  and then  if and only if the subgroup generated by S is a cyclic group of 21 elements.

abelian groups, inverse problems, subset sums, zero-sum free set.

Received: October 2, 2022; Accepted: November 9, 2022; Published: November 11, 2022

How to cite this article: Mingrui Wang and Yuting Hu, Inverse problems of subset sums of zero-sum free set with six elements in finite abelian groups, JP Journal of Algebra, Number Theory and Applications 59 (2022), 17-31. http://dx.doi.org/10.17654/0972555522036

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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