On sum-free subsets of abelian groups
Combinatorics
2023-03-28 v2 Group Theory
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 ? 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 looks like? among others.
Cite
@article{arxiv.2211.07988,
title = {On sum-free subsets of abelian groups},
author = {Renato Cordeiro de Amorim},
journal= {arXiv preprint arXiv:2211.07988},
year = {2023}
}