A Criterion for Solvability of a Finite Group by the Sum of Element Orders

Morteza Baniasad Azad, Behrooz Khosravi

Let $G$ be a finite group and $\psi (G)={\sum }_{g\in G}o(g)$, where $o(g)$ denotes the order of $g\in G$. In [M. Herzog, et. al., Two new criteria for solvability of finite groups,…