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A Step Beyond Kemperman's Structure Theorem

Part of: Additive number theory; partitions

Published online by Cambridge University Press:  21 December 2009

David J. Grynkiewicz
David J. Grynkiewicz
Affiliation:
Institut für Mathematik und Wissenschaftliches Rechnen, Karl-Franzens-Universität Graz, Heinrichstrasse 36, 8010 GrazHeinrichstrasse 36, 8010 Graz, Austria, E-mail: diambri@hotmail.com
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Abstract

We extend Kemperman's structure theorem by completely characterizing those finite subsets A and B of an arbitrary abelian group with |A + B| = |A| + |B|.

MSC classification

Secondary: 11P70: Inverse problems of additive number theory, including sumsets

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Type
Research Article
Information
Mathematika , Volume 55 , Issue 1-2 , December 2009 , pp. 67 - 114
Copyright
Copyright © University College London 2009

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