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

DOI:
https://doi.org/10.1090/S0002-9939-1991-1072338-3

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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DOI:
https://doi.org/10.1090/S0002-9939-1991-1072338-3

Article copyright:
© Copyright 1991
American Mathematical Society