15 citations · 53 across the 33 of their papers we have counts for
9 papers · 1 filter
On the number of subgroups of a given exponent in a finite abelian group
Marius Tărnăuceanu, László Tóth
This paper deals with the number of subgroups of a given exponent in a finite abelian group. Explicit formulas are obtained in the case of rank two and rank three abelian groups. A…
A new equivalence relation to classify the fuzzy subgroups of finite groups
Marius Tărnăuceanu
In this paper a new equivalence relation to classify the fuzzy subgroups of finite groups is introduced and studied. This generalizes the equivalence relation defi…
Finite groups with a certain number of cyclic subgroups
Marius Tarnauceanu
In this short note, we describe the finite groups having cyclic subgroups. This leads to a nice characterization of the symmetric group .
The posets of classes of isomorphic subgroups of finite groups
Marius Tarnauceanu
In this paper we introduce and study the poset of equivalence classes of subgroups of a finite group , induced by the isomorphism relation. This contains the well-known lattice…
On finite groups with dismantlable subgroup lattices
Marius Tarnauceanu
In this note we study the finite groups whose subgroup lattices are dismantlable.
On the converse of Fuzzy Lagrange's Theorem
Marius Tarnauceanu
In fuzzy group theory many versions of the well-known Lagrange's theorem have been studied. The aim of this article is to investigate the converse of one of those results. This lea…