Small doubling in ordered nilpotent groups of class 2
The aim of this paper is to present a complete description of the structure of finite subsets with small doubling property in ordered nilpotent groups of class 2.
math.NT↗
arXiv subjects
Yonutz V. Stanchescu
Publications and source records attributed to Yonutz V. Stanchescu.
Small doubling in ordered groups: generators and structure
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.
math.NT↗