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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Interconnections between the structure theory of set addition and rewritability in groups
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by Gregory A. Freiman and Boris M. Schein PDF
Proc. Amer. Math. Soc. 113 (1991), 899-910 Request permission

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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Additional Information
  • © Copyright 1991 American Mathematical Society
  • 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