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 |
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Pages (from-to) | 627-629 |
Number of pages | 3 |
Journal | Proceedings of the American Mathematical Society |
Volume | 117 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1993 |