8 citations · 13 across the 3 of their papers we have counts for
3 papers
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.GR2015★ 8 cited
On the structure of subsets of an orderable group with some small doubling properties
G. A. Freiman, M. Herzog, P. Longobardi +4
The aim of this paper is to present a complete description of the structure of subsets S of an orderable group G satisfying |S^2| = 3|S|-2 and <S> is non-abelian.
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…