On Groups with the Second Largest Value of the Sum of Element Orders |
| |
| Authors: | Rulin Shen Gang Chen Chao Wu |
| |
| Institution: | 1. Department of Mathematics , Hubei University for Nationalities , Enshi , Hubei Province , China rulinshen@gmail.com;3. School of Mathematics and Statistics , Central China Normal University , Wuhan , Hubei Province , China |
| |
| Abstract: | For a finite group G, let ψ(G) denote the sum of element orders of G. It is known that the maximum value of ψ on the set of groups of order n, where n is a positive integer, will occur at the cyclic group ? n . In this paper, we investigate groups with the second largest value of ψ on the set of groups of the same order. |
| |
| Keywords: | Element orders Finite groups Metacyclic groups |
|
|
