Marius Tùarnùauceanu

activity

20122025

most citedAn arithmetic method of counting the subgroups of a finite abelian group

11 citations · 41 across the 31 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.GR2016

The Chermak-Delgado lattice of ZM-groups

Marius Tărnăuceanu

In this note we prove that the Chermak-Delgado lattice of a ZM-group is a chain of length $0$ . A similar conclusion is obtained for all dihedral groups $D_{2 m}$ with $m \neq = 4$ .

math.GR2016

Finite groups with a certain number of cyclic subgroups II

Marius Tărnăuceanu

In this note we describe the finite groups $G$ having $∣ G ∣ - 2$ cyclic subgroups. This partially solves the open problem in the end of \cite{3}.

math.GR2016

Factorization numbers of finite rank $3$ abelian $p$ -groups

Marius Tărnăuceanu

In this short note we give a formula for the factorization number $F_{2} (G)$ of a finite rank $3$ abelian $p$ -group $G$ . This extends a result in our previous work \cite{9}.

The Chermak-Delgado lattice of ZM-groups

Finite groups with a certain number of cyclic subgroups II

Factorization numbers of finite rank 3 abelian p-groups

Factorization numbers of finite rank $3$ abelian $p$ -groups