Mihai-Silviu Lazorec

activity

20162026

most citedOn some probabilistic aspects of (generalized) dicyclic groups

3 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.GR2026

Detecting solvability, supersolvability and CLT properties via an invariant based on conjugacy classes of subgroups

Mihai-Silviu Lazorec

For a finite group $G$ , denote by $k^{'} (G)$ and $L (G)$ the number of conjugacy classes of subgroups and the subgroup lattice of $G$ , respectively. Let $d^{'} (G) = \frac{k ^{'} ( G )}{∣ L ( G ) ∣}$ an…

math.GR2024★ 2 cited

Subgroups with a small sum of element orders

Mihai-Silviu Lazorec

A finite group $G$ is said to be a $B_{ψ}$ -group if $ψ (H) < ∣ G ∣$ for any proper subgroup $H$ of $G$ , where $ψ (H)$ denotes the sum of element orders of $H$ . In this paper, we…

math.GR2023

Some density results involving the average order of a finite group

Mihai-Silviu Lazorec

Let $o (G)$ be the average of the element orders of a finite group $G$ . A research topic concerning this quantity is understanding the relation between $o (G)$ and $o (H)$ , where $H$ …

math.GR2021

Addendum to "A generalization of a result on the sum of element orders of a finite group" [arXiv:2001.07275]

Mihai-Silviu Lazorec, Marius Tărnăuceanu

Let $G$ be a group of order $n$ and $H$ be a subgroup of order $m$ of $G$ . Denote by $ψ_{H} (G)$ the sum of element orders relative to $H$ of $G$ . It is known that if $G$ is nilpotent…

math.GR2016★ 3 cited

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…