Notes on sum-free sets in abelian groups
Combinatorics
2026-05-27 v2 Group Theory
Number Theory
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 we asymptotically determine the number of maximal distinct sum-free subsets in . Our proof makes use of the container method.
Cite
@article{arxiv.2506.17401,
title = {Notes on sum-free sets in abelian groups},
author = {Nathanaël Hassler and Andrew Treglown},
journal= {arXiv preprint arXiv:2506.17401},
year = {2026}
}
Comments
18 pages, 2 figures. Author accepted manuscript, to appear in Integers