Small subsets with large sumset: Beyond the Cauchy--Davenport bound

Jacob Fox, Sammy Luo, Huy Tuan Pham +1

For a subset $A$ of an abelian group $G$, given its size $|A|$, its doubling $\kappa =|A+A|/|A|$, and a parameter $s$ which is small compared to $|A|$, we study the size of the largest s…