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Notes on sum-free sets in abelian groups

Published 20 Jun 2025 in math.CO, math.GR, and math.NT | (2506.17401v1)

Abstract: In this paper we highlight a few open problems concerning maximal sum-free sets in abelian groups. In addition, for most even order abelian groups $G$ we asymptotically determine the number of maximal distinct sum-free subsets in $G$. Our proof makes use of the container method.

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