The graph related to conjugacy classes is a graph whose vertices are non central conjugacy
classes, where two vertices are connected by an edge if they are not coprime. In this paper …

Accepted: Dec 3, 2013; Published: Dec 22, 2013 Abstract: Let G be a symmetric group. The
commutativity degree is the probability that two elements randomly chosen commute in G …

In this paper, let G be a dihedral group of order 2n. Let Ω be the set of all subsets of
commuting elements of size two in the form of (a, b), where a and b commute and| a|=| b|= 2 …

Let G be a metacyclic 2-group. The commutativity degree is the probability that two random
elements commute in G, denoted as () PG. This concept is used to determine the …

Let G be a finite non-abelian solvable group and let Ω be the set of all subsets of commuting
elements of size two in G. In this paper, we define a graph which is called an orbit graph …

In this paper, Ω denotes the set of all subsets of commuting elements of G in the form of (a,
b), where a and b commute,| a|=| b|= 2. The probability that a group element of G fixes a set …

In this paper, G denotes a non-abelian metabelian group and denotes conjugacy class of
the element x in G. Conjugacy class is an equivalence relation and it partitions the group …

In this study, the orbits of non abelian metabelian groups of order 26, 28 and 30 are found
using conjugation action. The non abelian metabelian groups considered in this study are …

THE ORBIT GRAPH OF FINITE NON-ABELIAN GROUPS SMS Omer1 §, NH Sarmin2, A.
Erfanian3 1Department of Mathematics Faculty of S Page 1 International Journal of Pure and …

In this paper, G denotes a metacyclic 2-group of order at most 32 and denotes a simple
undirected graph. A conjugacy class is an equivalence relation, in which the group is …