M. Tărnăuceanu

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20112026

most citedA generalization of Menon's identity

15 citations · 53 across the 33 of their papers we have counts for

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math.GR2026

On a generalization of the Reidemeister spectrum of a finite group

Marius Tărnăuceanu

Based on a recent generalization of the Reidemeister spectrum of a finite group [1], in this short note we extend the main result of our previous paper [2].

math.GR2026

On a divisibility condition related to the sum of element orders of a finite group

Marius Tărnăuceanu

Given a finite group $G$ , we denote by $ψ (G)$ the sum of element orders of $G$ . In this note, we determine finite groups $G$ such that $∣ H ∣ - ∣ K ∣$ divides $ψ (H) - ψ (K)$ for all subgrou…

math.GR2026

Two new functions related to the sum of element orders of a finite group

Marius Tărnăuceanu

Let $G$ be a finite group and $H$ be a proper normal subgroup of $G$ . In this note, we introduce two new functions $o (G, H)$ and $ψ^{''} (G, H)$ involving the sums of element orders of $…