Small doubling in ordered groups: generators and structure
Number Theory
2018-08-16 v1 Combinatorics
Group Theory
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.
Cite
@article{arxiv.1501.01838,
title = {Small doubling in ordered groups: generators and structure},
author = {Gregory A. Freiman and Marcel Herzog and Patrizia Longobardi and Mercede Maj and Alain Plagne and Yonutz V. Stanchescu},
journal= {arXiv preprint arXiv:1501.01838},
year = {2018}
}
Comments
25 pages