3 papers
math.GR2023
On groups occurring as absolute centers of finite groups
Georgiana Fasolă, Marius Tărnăuceanu
Given a construction on groups, we say that a group is \textit{-realisable} if there is a group such that , and \textit{completely -realisable} if th…
math.GR2023
Completely realisable groups
Georgiana Fasolă, Marius Tărnăuceanu
Given a construction on groups, we say that a group is \textit{-realisable} if there is a group such that , and \textit{completely -realisable} if th…
math.GR2022
On a group-theoretical generalization of the Gauss formula
Georgiana Fasolă, Marius Tărnăuceanu
In this paper, we discuss a group-theoretical generalization of the well-known Gauss formula involving the functionthat counts the number of automorphisms of a finite group. This g…