A characterization of abelian groups

L. Brailovsky

doi:10.1090/S0002-9939-1993-1129873-0

A characterization of abelian groups

L. Brailovsky^*

^*Corresponding author for this work

School of Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be a group and let k > 2 be an integer such that (k³ − k) < |G|/2 if G is finite. Suppose that the condition |A²| ≤ k(k + l)/2 is satisfied by every fc-element subset A ⊆ G. Then G is abelian.

Original language	English
Pages (from-to)	627-629
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	117
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1993-1129873-0
State	Published - Mar 1993

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A characterization of abelian groups

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