A characterization of abelian groups

L. Brailovsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 languageEnglish
Pages (from-to)627-629
Number of pages3
JournalProceedings of the American Mathematical Society
Issue number3
StatePublished - Mar 1993


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