English

On the structure of subsets of an orderable group with some small doubling properties

Group Theory 2015-11-11 v1 Combinatorics Number Theory

Abstract

The aim of this paper is to present a complete description of the structure of subsets S of an orderable group G satisfying |S^2| = 3|S|-2 and <S> is non-abelian.

Keywords

Cite

@article{arxiv.1505.00419,
  title  = {On the structure of subsets of an orderable group with some small doubling properties},
  author = {G. A. Freiman and M. Herzog and P. Longobardi and M. Maj and A. Plagne and D. J. S. Robinson and Y. V. Stanchescu},
  journal= {arXiv preprint arXiv:1505.00419},
  year   = {2015}
}