Abstract
The goal of this chapter is to prove one of the most important inverse results for an arbitrary abelian group—the Kemperman Structure Theorem (KST)—which determines all finite, nonempty subsets A, B⊆G with |A+B|≤|A|+|B|−1. As the proof is already involved enough for the case when A and B are finite, we only present the result in this case.
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Grynkiewicz, D.J. (2013). Kemperman’s Critical Pair Theory. In: Structural Additive Theory. Developments in Mathematics, vol 30. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00416-7_9
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DOI: https://doi.org/10.1007/978-3-319-00416-7_9
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00415-0
Online ISBN: 978-3-319-00416-7
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