English

Small doubling in cyclic groups

Number Theory 2020-10-08 v1 Combinatorics Group Theory

Abstract

We give a comprehensive description of the sets AA in finite cyclic groups such that 2A<94A|2A|<\frac94|A|; namely, we show that any set with this property is densely contained in a (one-dimensional) coset progression. This improves earlier results of Deshouillers-Freiman and Balasubramanian-Pandey.

Keywords

Cite

@article{arxiv.2010.03410,
  title  = {Small doubling in cyclic groups},
  author = {Vsevolod F. Lev},
  journal= {arXiv preprint arXiv:2010.03410},
  year   = {2020}
}
R2 v1 2026-06-23T19:07:50.414Z