Small doubling in ordered groups: generators and structure

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

arxiv: 1501.01838 · v1 · pith:JOFVQJY4new · submitted 2015-01-08 · 🧮 math.NT · math.CO· math.GR

Small doubling in ordered groups: generators and structure

Gregory A. Freiman , Marcel Herzog , Patrizia Longobardi , Mercede Maj , Alain Plagne , Yonutz V. Stanchescu This is my paper

classification 🧮 math.NT math.COmath.GR

keywords doublingorderedresultsseveralsmallstructureabelianfreiman

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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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Small doubling in ordered groups: generators and structure

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