15 citations · 53 across the 33 of their papers we have counts for
7 papers · 1 filter
A note on the Chermak-Delgado lattice of a finite group
Marius Tărnăuceanu
In this note we describe the structure of finite groups G whose Chermak-Delgado lattice is the interval [G/Z(G)] = {H \in L(G) \mid Z(G)\leq H\leq G}.
On some probabilistic aspects of (generalized) dicyclic groups
Marius Tărnăuceanu, Mihai-Silviu Lazorec
In this paper we study probabilistic aspects such as subgroup commutativity degree and cyclic subgroup commutativity degree of the (generalized) dicyclic groups. We find explicit f…
A characterization of elementary abelian 2-groups
Marius Tărnăuceanu
In this note we give a characterization of elementary abelian 2-groups in terms of their maximal sum-free subsets.
Finite groups determined by an inequality of the orders of their subgroups II
Marius Tarnauceanu
In this note we study a class of finite groups for which the orders of subgroups satisfy a certain inequality. In particular, characterizations of the well-known groups $\mathbb{Z}…
Cyclic subgroup commutativity degrees of finite groups
Marius Tarnauceanu, Mihai-Silviu Lazorec
In this paper we introduce and study the concept of cyclic subgroup commutativity degree of a finite group . This quantity measures the probability of two random cyclic subgroup…
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…