Critical pairs in abelian groups and Kemperman's structure theorem

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dc.creatorLev, Vsevolod F.
dc.date2005-08-10
dc.date2006-02-03
dc.date.accessioned2026-07-07T06:42:46Z
dc.date.available2026-07-07T06:42:46Z
dc.descriptionA 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.
dc.description20+ pages, (some) typos fixed, other minor changes
dc.identifierhttps://arxiv.org/abs/math/0508179
dc.identifierhttp://arxiv.org/abs/math/0508179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102165
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subjectMSC-class: 11P70 (Primary) 11B75, 05D99 (Secondary)
dc.titleCritical pairs in abelian groups and Kemperman's structure theorem
dc.typetext

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