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.
|Number of pages||3|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Mar 1993|