Abstract
For a finite group G, let ψ(G) denote the sum of element orders of G. The aim of this article is to show that ψ(H) < ψ(A n ) for every proper subgroup H of the symmetric group of degree n, which is different from the alternating group A n .
2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The authors are very grateful to the referee for his/her valuable comments. Also the authors are grateful to Professor Alireza Abdollahi for his reading and useful comments.
Notes
Communicated by A. Turull.