A Freiman-type theorem for locally compact abelian groups
Classical Analysis and ODEs
2010-04-02 v2 Number Theory
Abstract
We prove a Freiman-type theorem for locally compact abelian groups. If A is a subset of a locally compact abelian group with Haar measure m and m(nA) < n^dm(A) for all n>d log d then we describe A in a way which is tight up to logarithmic factors in d.
Cite
@article{arxiv.0710.2545,
title = {A Freiman-type theorem for locally compact abelian groups},
author = {Tom Sanders},
journal= {arXiv preprint arXiv:0710.2545},
year = {2010}
}
Comments
12 pp. Corrected typos. Updated references. Minor revisions.