On the critical pair theory in abelian groups : Beyond Chowla's Theorem
Number Theory
2009-03-04 v2
Abstract
We obtain critical pair theorems for subsets S and T of an abelian group such that |S+T| < |S|+|T|+1. We generalize some results of Chowla, Vosper, Kemperman and a more recent result due to Rodseth and one of the authors.
Cite
@article{arxiv.math/0603478,
title = {On the critical pair theory in abelian groups : Beyond Chowla's Theorem},
author = {Yahya Ould Hamidoune and Oriol Serra and Gilles Zemor},
journal= {arXiv preprint arXiv:math/0603478},
year = {2009}
}
Comments
Submitted to Combinatorica, 23 pages, revised version