15 citations · 53 across the 33 of their papers we have counts for
4 papers · 1 filter
On the number of diamonds in the subgroup lattice of a finite abelian group
Dan Gregorian Fodor, Marius Tarnauceanu
The main goal of the current paper is to determine the total number of diamonds in the subgroup lattice of a finite abelian group. This counting problem is reduced to finite -gr…
A generalization of the Euler's totient function
Marius Tarnauceanu
The main goal of this paper is to provide a group theoretical generalization of the well-known Euler's totient function. This determines an interesting class of finite groups.
Normality degrees of finite groups
Marius Tarnauceanu
In this paper we introduce and study the concept of normality degree of a finite group . This quantity measures the probability of a random subgroup of to be normal. Explici…
The subgroup commutativity degree of finite P-groups
Marius Tarnauceanu
The subgroup commutativity degree of a group G has been defined in [6] as the probability that two subgroups of G commute, or equivalently that the product of two subgroups is agai…