Abstract
In a given abelian group, let $A$ and $B$ be two finite subsets satisfying the small sumset condition $|A+B|\le K|A|$. We consider the problem of estimating how large $|A-B|$ can be in terms of $|A|$ and $K$ and the one of estimating the ratio $|X-B|/|X|$ when $X$ runs over all the non-empty subsets of $A$.
Citation
Katalin Gyarmati. François Hennecart. Imre Z. Ruzsa. "Sums and differences of finite sets." Funct. Approx. Comment. Math. 37 (1) 175 - 186, January 2007. https://doi.org/10.7169/facm/1229618749
Information
