22 citations · 69 across the 12 of their papers we have counts for
4 papers · 1 filter
Construction of Gyrogroups of Order by Cyclic 2-Groups
Abraham A. Ungar, Mohammad Ali Salahshour, Kurosh Mavaddat Nezhaad
A gyrogroup is a structure constituting from a non-empty set and a binary operation such that satisfying the left identity, and left inverse conditions, and also has the associativ…
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…
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…