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arXiv · 2211.07988

On sum-free subsets of abelian groups

Renato Cordeiro de Amorim
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Abstract

In this paper we discuss some of the key properties of sum-free subsets of abelian groups. Our discussion has been designed with a broader readership in mind, and is hence not overly technical. We consider answers to questions like: how many sum-free subsets are there in a given abelian group $G$? what are its sum-free subsets of maximum cardinality? what is the maximum cardinality of these sum-free subsets? what does a typical sum-free subset of $G$ looks like? among others.

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Renato Cordeiro de Amorim. 2023-03-27. On sum-free subsets of abelian groups. https://arxiv.org/abs/2211.07988

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