Mihai-Silviu Lazorec

activity

20242026

collaborators

6 papers

math.GR2026

A set theoretic version of equations on groups

Mihai-Silviu Lazorec

Let $G$ be a finite group. The aim of this paper is to study the number of solutions $S \subseteq G$ of the equation $℧^{{n}} (S) = L$ , where $L$ is a non-empty subset of $G$ , $n$ …

math.GR2026

On some problems regarding $L C M$ -groups

Mihai-Silviu Lazorec

Let $G$ be a finite group and denote by $o (g)$ the order of an element $g \in G$ . We say that $G$ is an $L C M$ -group if $o (x^{n} y)$ is a divisor of the least common multiple of $o(x^n)…

math.GR2026

Minimum $F$ -covers: the supersolvable and metabelian cases

Mihai-Silviu Lazorec

Given a set $F$ of finite groups, it is said that a group $G$ is an $F$ -cover if every group in $F$ is isomorphic to a subgroup of $G$ . Moreover, $G$ …

math.GR2025

On the number of conjugacy classes of subgroups of a finite group

Mihai-Silviu Lazorec, Marius TÄrnÄuceanu, Marius Tărnăuceanu

Let $k^{'} (G)$ and $L (G)$ be the number of conjugacy classes of subgroups and the subgroup lattice of a finite group $G$ , respectively. Our objective is to study some aspects related…

math.GR2024

On two problems about order sequences of finite groups

Mihai-Silviu Lazorec

The order sequence of a finite group $G$ is a non-decreasing finite sequence formed of the element orders of $G$ . Several properties of order sequences were studied by P. J. Camero…

math.GR2024

Element orders in extraspecial groups

Mihai-Silviu Lazorec

By using the structure and some properties of extraspecial and generalized/almost extraspecial $p$ -groups, we explicitly determine the number of elements of specific orders in such…

A set theoretic version of equations on groups

On some problems regarding LCM-groups

Minimum F-covers: the supersolvable and metabelian cases

On the number of conjugacy classes of subgroups of a finite group

On two problems about order sequences of finite groups

Element orders in extraspecial groups

On some problems regarding $L C M$ -groups

Minimum $F$ -covers: the supersolvable and metabelian cases