M. Amiri

collaborators

2 papers

math.GR2026

On the Sum of Element Orders in Finite Abelian Groups

Mohsen Amiri

Let $I ¨ (G) = \sum_{g \in G} o (g)$ denote the sum of element orders of a finite group $G$ . It is known that among groups of order $n$ , the cyclic group $C_{n}$ maximizes $I ¨ $ . TÄrnÄ…

math.GR2026

On the Order of Products of Coprime Elements in Finite Groups

M. Amiri, I. Lima, S. Sousa

In this work, we introduce the subgroups $D_{m} (G)$ and $D_{m, n} (G)$ , defined in terms of the orders of products of coprime elements in a finite group $G$ . We show that both subgroup…