M. Tărnăuceanu

activity

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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Showing 2025Show all

6 papers · 1 filter

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…

math.GR2025

A result on certain sums of element orders in finite groups

Marius Tărnăuceanu

Given a finite group $G$ of order $p^{n} m$ , where $p$ is a prime and $p ∤ m$ , we denote by $ψ_{p} (G)$ the sum of orders of $p$ -parts of elements in $G$ . In the current note, we prov…

math.GR2025

Finite groups with many normalizers

Marius Tărnăuceanu

A group $G$ is said to have dense normalizers if each non-empty open interval in its subgroup lattice $L (G)$ contains the normalizer of a certain subgroup of $G$ . In this note, we…

math.GR2025

On the Chermak-Delgado lattice of a finite group

Ryan McCulloch, Marius Tărnăuceanu

By imposing conditions upon the index of a self-centralizing subgroup of a group, and upon the index of the center of the group, we are able to classify the Chermak-Delgado lattice…