University of Isfahan

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20022009

most citedThe Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method

93 citations

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10 papers · 1 filter

math.GR2009

Non-nilpotent graph of a group

Alireza Abdollahi, Mohammad Zarrin

We associate a graph $N_{G}$ with a group $G$ (called the non-nilpotent graph of $G$ ) as follows: take $G$ as the vertex set and two vertices are adjacent if they generat…

math.GR2009★ 1 cited

On the right and left 4-Engel elements

A. Abdollahi, H. Khosravi

In this paper we study left and right 4-Engel elements of a group. In particular, we prove that $< a, a^{b} >$ is nilpotent of class at most 4, whenever $a$ is any element and $b^{\pm…

math.GR2008

Configuration of nilpotent groups and isomorphism

A. Abdollahi, A. Rejali, A. Yousofzadeh

The concept of configuration was first introduced by Rosenblatt and Willis to give a condition for amenability of groups. We show that if $G_{1}$ and $G_{2}$ have the same configuratio…

math.GR2008★ 1 cited

Non-cyclic graph associated with a group

Alireza Abdollahi, A. Mohammadi Hassanabadi

We associate a graph $C_{G}$ to a non locally cyclic group $G$ (called the non-cyclic graph of $G$ ) as follows: take $G \ C y c (G)$ as vertex set, where $Cyc(G)=\{x\i…

math.GR2007

3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian

A. Abdollahi, A. Faghihi, A. Mohammadi Hassanabadi

A group in which every element commutes with its endomorphic images is called an $E$ -group. Our main result is that all 3-generator $E$ -groups are abelian. It follows that the mini…

math.GR2007★ 10 cited

Non-cyclic graph of a group

Alireza Abdollahi, A. Mohammadi Hassanabadi

We associate a graph $Γ_{G}$ to a non locally cyclic group $G$ (called the non-cyclic graph of $G$ ) as follows: take $G \ C y c (G)$ as vertex set, where $Cyc(G)=\{x\in G | \lef…