On a Theorem of Deshouillers and Freiman
Combinatorics
2013-09-24 v1
Abstract
The study of `structure' on subsets of abelian groups, with small `doubling constant', has been well studied in the last fifty years, from the time Freiman initiated the subject. In \cite{DF} Deshouillers and Freiman establish a structure theorem for subsets of with small doubling constant. In the current article we provide an alternate proof of one of the main theorem of \cite{DF}. Also our proof leads to slight improvement of the theorems in \cite{DF}.
Keywords
Cite
@article{arxiv.1309.5712,
title = {On a Theorem of Deshouillers and Freiman},
author = {R. Balasubramanian and Prem Prakash Pandey},
journal= {arXiv preprint arXiv:1309.5712},
year = {2013}
}