Mostafa Arabtash

collaborators

2 papers

math.GR2025

The influence of the prime omega function on the product of element orders in finite groups

Morteza Baniasad Azad, Mostafa Arabtash

Let $G$ be a finite group and define $ρ (G) = \prod_{x \in G} o (x)$ , where $o (x)$ denotes the order of the element $x \in G$ . Let $Ω$ be the prime omega function giving the number o…

math.GR2025

Recognition by the set of exponents in the prime factorization of the product of element orders

Morteza Baniasad Azad, Mostafa Arabtash

Let $G$ be a finite group. Let $ρ (G) = \prod_{g \in G} o (g) = p_{1}^{α_{1}} p_{2}^{α_{2}} \dots p_{k}^{α_{k}}$ , where $p_{1}, p_{2}, \dots, p_{k}$ are distinct prime numbers and $o (g)$ denotes…