Small doubling in ordered groups: Generators and structure

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

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)585-612
Number of pages28
JournalGroups, Geometry, and Dynamics
Issue number2
StatePublished - 2017


  • Inverse problems
  • Nilpotent groups
  • Ordered groups
  • Small doubling


Dive into the research topics of 'Small doubling in ordered groups: Generators and structure'. Together they form a unique fingerprint.

Cite this