Sets Arising as Minimal Additive Complements in the Integers

Amanda Burcroff, Noah Luntzlara

A subset $C$ of an abelian group $G$ is a minimal additive complement to $W\subseteq G$ if $C+W=G$ and if $C^{\prime }+W\ne G$ for any proper subset $C^{\prime }\subset C$. In this paper,…