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Let G be a cyclic group of order n, where n is odd. What is the infimum of the average of the sum of the element orders in G?

Let G be a cyclic group of order n, where n is odd. What is the infimum of the sum of the element orders in G?

Let G be a cyclic group of order n, where n is odd. What is the infimum of the average of the sum of the element orders in G?

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A Lower Bound for the sum of the element orders in a cyclic group of order n

Let G be a cyclic group of order n, where n is odd. What is the infimum of the sum of the element orders in G?