2005/08/10 by Vsevolod F. Lev, Lev, Vsevolod F.
Computer Science · Mathematics · #05D99 (Secondary) #Advanced Graph Theory Research #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #MSC-class: 11P70 (Primary) 11B75 #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.math/0508179
openalex publication_date 2005/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A well-known result by Kemperman describes the structure of those pairs (A,B) of finite subsets of an abelian group satisfying |A+B|≤|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.