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math.NT2016★ 2 cited
Small doubling in ordered nilpotent groups of class 2
Gregory A. Freiman, Marcel Herzog, Patrizia Longobardi +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.NT2015★ 3 cited
Small doubling in ordered groups: generators and structure
Gregory A. Freiman, Marcel Herzog, Patrizia Longobardi +3
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 Freim…