Groups with numerical restrictions ‎on minimal generating sets

Abstract

We study an inverse problem of small doubling type. We investigate the structure of a finitely generated group $G$ such that, for any set $S$ of generators of $G$ of minimal order, we have $S^2 leq 3|S|-beta$, where $beta in {1, 2, 3}$

Keywords

• small doubling
• minimal generating subsets
• inverse problems