15 citations · 53 across the 33 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
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
Finite groups with integer harmonic mean of element orders
Iulia Cătălina Pleşca, Marius Tărnăuceanu
In this paper, we introduce a new function computing the harmonic mean of element orders of a finite group. We present a series of properties for this function, and then we study g…
math.GR2023
On the number of edges of cyclic subgroup graphs of finite groups
Marius Tărnăuceanu
In this note, we show that among finite nilpotent groups of a given order or finite groups of a given odd order, the cyclic group of that order has the minimum number of edges in i…