Abstract
Let G be a finite group. Then we denote ψ(G) the sum of element orders in G. In [Citation1] it is proved that if G is a non-cyclic group of order n, then ψ(G) < ψ(C n ), where C n is the cyclic group of order n. Here we generalize and improve this result, and also we give an application of this improvement.
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ACKNOWLEDGMENT
The authors is indebted to the referee for his/her careful reading and valuable comments. This research was in part supported by a grant from university of Zanjan.
Notes
Communicated by A. Turull.