Mina Poozesh

collaborators

2 papers

math.GR2023

Some results on the solubility graph of a finite group

Mina Poozesh, Yousef Zamani

Let $G$ be a finite insoluble group with soluble radical $R (G)$ . The solubility graph $Γ_{S} (G)$ of $G$ is a simple graph whose vertices are the elements of $G ∖ R (G)$ …

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…