8 citations · 20 across the 8 of their papers we have counts for
8 papers
Additive Volume of Sets Contained in Few Arithmetic Progressions
Gregory A. Freiman, Oriol Serra, Christoph Spiegel
A conjecture of Freiman gives an exact formula for the largest volume of a finite set of integers with given cardinality and doubling . The formula is known…
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.
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.
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…
On the Additive Volume of Sets of Integers
Gregory A. Freiman
The study of the additive volume of sets can be reduced to the case of one-dimensional sets. The exact values of the volume of extremal sets are given as a conjecture.
Structure Theory of Set Addition III. Results and Problems
Gregory A. Freiman
We are discussing the theorem about the volume of a set of having a small doubling property and oher problems of Structure Theory of Set Addition (Addi…