Proof. First we consider the case where G is not abelian. Evidently there exists a normal subgroup N of G which contains the center Z of G such that G/N is cyclic of order p. Let a be an element in G… (More)

1. K. L. Chung, Fluctuation of sums of independent random variables, Ann. of Math. vol. 51 (1950) pp. 697-706. 2. K. L. Chung and P. Erdos, Probability limit theorems assuming only the first moment.… (More)