10 citations · 26 across the 7 of their papers we have counts for
7 papers
On the clique number of non-commuting graphs of certain groups
A. Abdollahi, A. Azad, A. Mohammadi Hassanabadi +1
Let be a non-abelian group. The non-commuting graph of is defined as the graph whose vertex set is the non-central elements of and two vertices are join…
Non-cyclic graph associated with a group
Alireza Abdollahi, A. Mohammadi Hassanabadi
We associate a graph to a non locally cyclic group (called the non-cyclic graph of ) as follows: take as vertex set, where $Cyc(G)=\{x\i…
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 -group. Our main result is that all 3-generator -groups are abelian. It follows that the mini…
Non-cyclic graph of a group
Alireza Abdollahi, A. Mohammadi Hassanabadi
We associate a graph to a non locally cyclic group (called the non-cyclic graph of ) as follows: take as vertex set, where $Cyc(G)=\{x\in G | \lef…
Minimal blocking sets in PG(n,2) and covering groups by subgroups
Alireza Abdollahi, M. J. Ataei, A. Mohammadi Hassanabadi
In this paper we prove that a set of points of PG(n,2) is a minimal blocking set if and only if with odd and is a set of points of no $d+1…
Minimal Number of Generators and Minimum Order of a Non-Abelian Group whose Elements Commute with Their Endomorphic Images
Alireza Abdollahi, A. Faghihi, A. Mohammadi Hassanabadi
A group in which every element commutes with its endomorphic images is called an -group. If is a prime number, a -group which is an -group is called a -group.…