Small doubling in ordered groups: generators and structure
arXiv:1501.01838 · doi:10.4171/GGD/409
Abstract
We prove several new results on the structure of the subgroup generated by a small doubling subset of an ordered group, abelian or not. We obtain precise results generalizing Freiman's 3k-3 and 3k-2 theorems in the integers and several further generalizations.
25 pages