9 papers
A characterization of PSL(2,q), q = 5,7
Marius Tarnauceanu
In this short note we prove that the finite non-abelian simple groups PSL(2,q), where q = 5,7, are determined by their posets of classes of isomorphic subgroups. In particular, thi…
On a generalization of the Gauss's formula
Marius Tarnauceanu
In this paper we study a group theoretical generalization of the well-known Gauss's formula that uses the generalized Euler's totient function introduced in [11].
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…