A New Proof of Kemperman's Theorem

Tomas Boothby, Matt DeVos, Amanda Montejano

Let $G$ be an additive abelian group and let $A,B\subseteq G$ be finite and nonempty. The pair $(A,B)$ is called critical if the sumset $A+B = {a+b \mid $a \in A$and$b\in B$}$ s…