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arXiv · 1501.01838

Small doubling in ordered groups: generators and structure

Gregory A. Freiman·Marcel Herzog·Patrizia Longobardi·Mercede Maj·Alain Plagne·Yonutz V. Stanchescu
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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.

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Gregory A. Freiman, Marcel Herzog, Patrizia Longobardi, Mercede Maj, Alain Plagne, Yonutz V. Stanchescu. 2015-01-08. Small doubling in ordered groups: generators and structure. https://doi.org/10.4171/ggd%2F409

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