A Step Beyond Kemperman's Structure Theorem

dc.creatorGrynkiewicz, David J.
dc.date2007-10-04
dc.date.accessioned2026-07-07T08:34:10Z
dc.date.available2026-07-07T08:34:10Z
dc.descriptionA classical result of Kemperman gives a complete recursive description of the structure of those subsets $A$ and $B$ of an abelian group that fail to satisfy the triangle inequality, i.e., $|A+B|<|A|+|B|$. In this paper, we achieve the complete description in the case when equality holds: $|A+B|=|A|+|B|$.
dc.identifierhttps://arxiv.org/abs/0710.1041
dc.identifierhttp://arxiv.org/abs/0710.1041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139341
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject11P70
dc.titleA Step Beyond Kemperman's Structure Theorem
dc.typetext

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