Renato Cordeiro de Amorim
Published 2022-11-15Version 1
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.
Separability of Schur rings over an abelian group of order 4p
Triangulations of the sphere, bitrades and abelian groups
Typical Ramsey properties of the primes, abelian groups and other discrete structures
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