Morteza Baniasad Azad

collaborators

2 papers

math.GR2019

On Two Conjectures about the Sum of Element Orders

Morteza Baniasad Azad, Behrooz Khosravi

Let $G$ be a finite group and $ψ (G) = \sum_{g \in G} o (g)$ , where $o (g)$ denotes the order of $g \in G$ . First, we prove that if $G$ is a group of order $n$ and $ψ (G) > 31 ψ (C_{n}) /77$ …

math.GR2018

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 $ψ (G) = \sum_{g \in G} o (g)$ , where $o (g)$ denotes the order of $g \in G$ . In [M. Herzog, et. al., Two new criteria for solvability of finite groups,…