Hamid Mousavi

activity

20052025

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5 papers · 1 filter

math.GR2025

On the Normalizer-Solubilizer Conjecture_V3

Hamid Mousavi

Let $G$ be a finite group and $x$ be an element of $G$ . Define $Sol_{G} (x)$ as the set of all $y \in G$ such that $⟨ x, y ⟩$ is soluble. We provide an equivalent…

math.GR2024

A note on meta and para- $Nil$ -Hamiltonian groups_v3

Hamid Mousavi

Let $Nil$ be the class of nilpotent groups. This article explores the finiteness of meta and para- $Nil$ -Hamiltonian groups or their derived subgroups when the…

math.GR2023

Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent

Nasrin Dastborhan, Hamid Mousavi

Let $Nil$ be the class of nilpotent groups and $G$ be a group. We call $G$ a meta- $Nil$ -Hamiltonian group if any of its non- $Nil$ subgroups is norm…

math.GR2022

The impact of the solubilizer of an element on the structure of a finite group

Hamid Mousavi, Mina Poozesh, Yousef Zamani

Let $G$ be a finite group, and let $x$ be an element of $G$ . Denote by $\Sol_G(x)$ the set of all $y \in G$ such that the group generated by $x$ and $y$ is soluble. We investigate…

math.GR2005

The Structure of $G /Φ (G)$ in Terms of $σ (G)$

Alireza Jamali, Hamid Mousavi

Let $G$ be a finite group. We let $\f{m}(G)$ and $\sig(G)$ denote the number of maximal subgroups of $G$ and the least positive integer $n$ such that $G$ is written as the union of…

On the Normalizer-Solubilizer Conjecture_V3

A note on meta and para-Nil-Hamiltonian groups_v3

Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent

The impact of the solubilizer of an element on the structure of a finite group

The Structure of G/Φ(G) in Terms of σ(G)

A note on meta and para- $Nil$ -Hamiltonian groups_v3

The Structure of $G /Φ (G)$ in Terms of $σ (G)$