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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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On finite subsets of nonabelian groups with small doubling
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by Gregory A. Freiman PDF
Proc. Amer. Math. Soc. 140 (2012), 2997-3002 Request permission

Abstract:

We give a detailed and clear exposition of the basic result describing the structure of a finite subset $A$ of a nonabelian group $G$ with a small doubling $|A^2| < 1.5 |A|$.
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Additional Information
  • Gregory A. Freiman
  • Affiliation: Department of Mathematics, Tel Aviv University, Ramat Aviv, Tel Aviv, Israel
  • Email: grisha@post.tau.ac.il
  • Received by editor(s): May 18, 2010
  • Received by editor(s) in revised form: March 27, 2011
  • Published electronically: January 13, 2012
  • Communicated by: Matthew A. Papanikolas
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 2997-3002
  • MSC (2010): Primary 20-XX; Secondary 11P70
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11156-6
  • MathSciNet review: 2917072