Affiliation:
1. Department of Mathematics , Buein Zahra Technical University , Buein Zahra , Qazvin , Iran
Abstract
Abstract
Let G be a finite non-abelian group. The commuting conjugacy class graph
Γ
(
G
)
{\Gamma(G)}
is defined as a graph whose vertices are non-central conjugacy classes of G and two distinct vertices X and Y in
Γ
(
G
)
{\Gamma(G)}
are connected by an edge if there exist elements
x
∈
X
{x\in X}
and
y
∈
Y
{y\in Y}
such that
x
y
=
y
x
{xy=yx}
. In this paper, the structure of the commuting conjugacy class graph of group G with the property that
G
Z
(
G
)
{\frac{G}{Z(G)}}
is isomorphic to a Frobenius group of order pq or
p
2
q
{p^{2}q}
, is determined.
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