On sum-free subsets of abelian groups

2022/11/15 by de Amorim, Renato Cordeiro · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2211.07988

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.

Cited by

• Enumeration of subsets with closedness in finite fields of characteristic 2

Related

• Sum-free sets in abelian groups
• Notes on sum-free sets in abelian groups
• Sum-free set in finite abelian groups
• On the maximum size of a (k,l)-sum-free subset of an abelian group
• On maximal sum-free sets in abelian groups