Hamid Mousavi

collaborators

3 papers

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.GR2025

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.GR2024

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…

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

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