Mohammad A. Iranmanesh

activity

20102016

most citedDivisibility graph for symmetric and alternating groups

1 citations · 1 across the 5 of their papers we have counts for

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math.GR2016

The Divisibility Graph of finite groups of Lie Type

Adeleh Abdolghafourian, Mohammad A. Iranmanesh, Alice C. Niemeyer

The Divisibility Graph of a finite group $G$ has vertex set the set of conjugacy class lengths of non-central elements in $G$ and two vertices are connected by an edge if one divid…

math.GR2014

On vertex-uniprimitive non-Cayley graphs of order pq

Mohammad A. Iranmanesh

Let $p$ and $q$ be distinct odd primes. Let $Γ = (V (Γ), E (Γ))$ be a non-Cayley vertex-transitive graph of order $pq .$ Let $G\leq \Aut(Γ)$ acts primitively on the vertex set $V (Γ)$ . I…

math.GR2014

On divisibility graph for simple Zassenhaus groups

Adeleh Abdolghafourian, Mohammad A. Iranmanesh

The divisibility graph $D (G)$ for a finite group $G$ is a graph with vertex set $cs (G) ∖ {1}$ where $cs (G)$ is the set of conjugacy class sizes of $G$ . Two vertices $a$ a…

math.GR2014★ 1 cited

Divisibility graph for symmetric and alternating groups

Adeleh Abdolghafourian, Mohammad A. Iranmanesh

Let $X$ be a non-empty set of positive integers and $X^{*} = X ∖ {1}$ . The divisibility graph $D (X)$ has $X^{*}$ as the vertex set and there is an edge connecting $a$ and $b$ wi…

math.GR2010

Abelian coverings of finite general linear groups and an application to their non-commuting graph

A. Azad, M. A. Iranmanesh, C. E. Praeger +1

In this paper we introduce and study a family $A_{n} (q)$ of abelian subgroups of $\GL_n(q)$ covering every element of $\GL_n(q)$. We show that $A_{n} (q)$ contains a…