arXiv subjects

J. Mirzajani

Publications and source records attributed to J. Mirzajani.

2 recordsLinked to original sources

arXiv2020

The Solubility Graph Associated With a Finite Group

Let $G$ be a finite group. The solubility graph associated with the finite group $G$, denoted by $Γ_{\cal S}(G)$, is a simple graph whose vertices are the non-trivial elements of $G$, and there is an edge between two distinct elements $x$ and $y$ if and only if $\langle x, y\rangle$ is a soluble subgroup of $G$. In this paper, we examine some properties of solubility graphs.

math.GR↗

arXiv2018

Simple Groups Whose Prime Graph or Solvable Graph is Split

A graph is split if there is a partition of its vertex set into a clique and an independent set. The present paper is devoted to the splitness of some graphs related to finite simple groups, namely, prime graphs and solvable graphs, and their compact forms. It is proved that the compact form of the prime graph of any finite simple group is split.

math.GR↗