12 citations · 15 across the 5 of their papers we have counts for
5 papers
On some probabilistic aspects of (generalized) dicyclic groups
Marius Tărnăuceanu, Mihai-Silviu Lazorec
In this paper we study probabilistic aspects such as subgroup commutativity degree and cyclic subgroup commutativity degree of the (generalized) dicyclic groups. We find explicit f…
A characterization of elementary abelian 2-groups
Marius Tărnăuceanu
In this note we give a characterization of elementary abelian 2-groups in terms of their maximal sum-free subsets.
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 . A similar conclusion is obtained for all dihedral groups with .
Finite groups determined by an inequality of the orders of their subgroups II
Marius Tarnauceanu
In this note we study a class of finite groups for which the orders of subgroups satisfy a certain inequality. In particular, characterizations of the well-known groups $\mathbb{Z}…
Cyclicity degrees of finite groups
Marius Tărnăuceanu, László Tóth
We introduce and study the concept of cyclicity degree of a finite group . This quantity measures the probability of a random subgroup of to be cyclic. Explicit formulas are…