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Interconnections between the structure theory of set addition and rewritability in groups

Authors: Gregory A. Freiman and Boris M. Schein
Journal: Proc. Amer. Math. Soc. 113 (1991), 899-910
MSC: Primary 20F99; Secondary 20F05
MathSciNet review: 1072338
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Abstract: An approach to groups and semigroups stemming from the structure theory of set addition turns out to have much in common with the so-called permutation or rewritable properties. We explain these connections and show how these properties take their place in a wider class of interesting and naturally arising problems. As an example, we characterize some classes of groups and group elements.

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