Marius Tuarnuauceanu

collaborators

3 papers

math.GR2025

Finite groups with dense $C D$ -subgroups

Ryan McCulloch, Marius TÄrnÄuceanu

A group $G$ is said to have dense $C D$ -subgroups if each non-empty open interval of the subgroup lattice $L (G)$ contains a subgroup in the Chermak--Delgado lattice ${\cal CD…

math.GR2024

A remark on the number of automorphisms of finite abelian groups

Marius TÄrnÄuceanu

Let $A b_{0}$ be the class of finite abelian groups and consider the function $f : A b_{0} ⟶ (0, \infty)$ given by $f (G) = \frac{∣ Aut ( G ) ∣}{∣ G ∣}$ \,, where $Aut (G)$ is t…

math.GR2024

On the solvability of a finite group by the sum of subgroup orders

Marius TÄrnÄuceanu

Let $G$ be a finite group and $I ¨ _{1} (G) = \frac{1}{∣ G ∣} \sum_{H \leq G} ∣ H ∣$ . Under some restrictions on the number of conjugacy classes of (non-normal) maximal subgroups of $G$ , we pr…

Finite groups with dense CD-subgroups

A remark on the number of automorphisms of finite abelian groups

On the solvability of a finite group by the sum of subgroup orders

Finite groups with dense $C D$ -subgroups