arXiv subjects

Mina Poozesh

Publications and source records attributed to Mina Poozesh.

2 recordsLinked to original sources

arXiv2023

Some results on the solubility graph of a finite group

Let $G$ be a finite insoluble group with soluble radical $ R(G)$. The solubility graph $Γ_{\rm S}(G)$ of $G$ is a simple graph whose vertices are the elements of $G\setminus R(G) $ and two distinct vertices $x$ and $y$ are adjacent if and only if they generate a soluble subgroup of $G$. In this paper, we investigate the several properties of the solubility graph $Γ_{\rm S}(G)$.

math.GR↗

arXiv2023

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

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 the influence of $\Sol_G(x)$ on the structure of $G$.

math.GR↗