On the Small Squaring and Commutativity
نویسندگان
چکیده
Let G be a group and let k > 2 be an integer, such that (A: — 3)(A: — 1) < |G|/15 if G is finite. Suppose that the condition \A\ < k(k+l)/2 + (k-'i)/2 is satisfied by every it-element subset A c G. Then G is abelian. The proof uses the structure of quasi-invariant sets.
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