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.
"Small doubling in ordered groups: Generators and structure"
LONGOBARDI, Patrizia;MAJ, Mercede;
2017-01-01
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.File in questo prodotto:
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small_doubling_generators_and_structure-revised(1).pdf
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