A characterization of abelian groups
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- by L. Brailovsky PDF
- Proc. Amer. Math. Soc. 117 (1993), 627-629 Request permission
Abstract:
Let $G$ be a group and let $k > 2$ be an integer such that $({k^3} - k) < |G|/2$ if $G$ is finite. Suppose that the condition $|{A^2}| \leqslant k(k + 1)/2$ is satisfied by every $k$-element subset $A \subseteq G$. Then $G$ is abelian.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 627-629
- MSC: Primary 20A05; Secondary 20K99
- DOI: https://doi.org/10.1090/S0002-9939-1993-1129873-0
- MathSciNet review: 1129873