M. Tărnăuceanu

activity

20112026

most citedA generalization of Menon's identity

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

collaborators

52 papers

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 $…

math.GR2025

The Reidemeister spectrum of ZM-groups

Marius Tărnăuceanu

Given a group $G$ and an automorphism $φ$ of $G$ , two elements $x, y \in G$ are said to be $φ$ -conjugate if $x = g y φ (g)^{- 1}$ for some $g \in G$ . The number $R (φ)$ of equivalence classe…

math.GR2025

On the number of conjugacy classes of subgroups of a finite group

Mihai-Silviu Lazorec, Marius Tărnăuceanu

Let $k^{'} (G)$ and $L (G)$ be the number of conjugacy classes of subgroups and the subgroup lattice of a finite group $G$ , respectively. Our objective is to study some aspects related…

math.GR2025

Almost and quasi Leinster groups

Iulia-Cătălina Pleşca, Marius Tărnăuceanu

In this paper, we study the parallelism between perfect numbers and Leinster groups and continue it by introducing the new concepts of almost and quasi Leinster groups which parall…