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arXiv · 2506.17401

Notes on sum-free sets in abelian groups

Nathanaël Hassler·Andrew Treglown
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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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Nathanaël Hassler, Andrew Treglown. 2026-05-26. Notes on sum-free sets in abelian groups. https://arxiv.org/abs/2506.17401

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