35 citations · 74 across the 22 of their papers we have counts for
12 papers · 1 filter
Construction of All Gyrogroups of Orders at most 31
Ali Reza Ashrafi, Kurosh Mavaddat Nezhaad, Mohammad Ali Salahshour
The gyrogroup is the closest algebraic structure to the group ever discovered. It has a binary operation containing an identity element such that each element has an invers…
General Form of the Automorphism Group of Bicyclic Graphs
Somayeh Madani, Ali Reza Ashrafi
In 1869, Jordan proved that the set of all finite group that can be represented as the automorphism group of a tree is containing the trivial group and it is closed u…
Counting Centralizers of a Finite Group with an Application in Constructing the Commuting Conjugacy Class Graph
A. R. Ashrafi, M. A. Salahshour
The set of all centralizers of elements in a finite group is denoted by and is called centralizer if . In this paper, the structure of centrali…
Construction of New Gyrogroups and the Structure of their Subgyrogroups
S. Mahdavi, A. R. Ashrafi, M. A. Salahshour
Suppose that is a groupoid with binary operation . The pair is said to be a gyrogroup if the operation has a left identity, each element $a \in…
Counting the Number of Centralizers of 2-Element Subsets in a Finite Group
A. R. Ashrafi, F. Koorepazan-Moftakhar, M. A. Salahshour
Suppose is a finite group. The set of all centralizers of element subsets of is denoted by . A group is called centralizer if a…
An Algorithm for Constructing All Supercharacter Theories of a Finite Group
A. R. Ashrafi, L. Ghanbari Maman, K. Kavousi +1
In 2008, Diaconis annd Isaacs introduced the notion of a supercharacter theory of a finite group in which supercharacters replace with irreducible characters and superclasses by co…