Critical pairs in abelian groups and Kemperman's structure theorem
Number Theory
2007-05-23 v2 Combinatorics
Abstract
A well-known result by Kemperman describes the structure of those pairs (A,B) of finite subsets of an abelian group satisfying |A+B|\le|A|+|B|-1. We establish a description which is, in a sense, dual to Kemperman's, and as an application sharpen several results due to Deshouillers, Hamidoune, Hennecart, and Plagne.
Keywords
Cite
@article{arxiv.math/0508179,
title = {Critical pairs in abelian groups and Kemperman's structure theorem},
author = {Vsevolod F. Lev},
journal= {arXiv preprint arXiv:math/0508179},
year = {2007}
}
Comments
20+ pages, (some) typos fixed, other minor changes