TY - JOUR
ID - 97177
TI - Commuting Conjugacy Class Graph of Finite CA-Groups
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Salahshour, Mohammad Ali
AU - Ashrafi, Ali Reza
AD - Department of Pure Mathematics, University of Kashan, Kashan 87317-53153, Iran.
Y1 - 2020
PY - 2020
VL - 6
IS - 1
SP - 108
EP - 118
KW - Commuting conjugacy class graph
KW - Commuting graph
KW - CA-group
KW - quotient graph
DO - 10.22034/kjm.2019.97177
N2 - Let $G$ be a finite nonabelian group. The commuting conjugacy class graph $\Gamma(G)$ is a simple graph with the noncentral conjugacy classes of $G$ as its vertex set and two distinct vertices $X$ and $Y$ in $\Gamma(G)$ are adjacent if and only if there are $x \in X$ and $y \in Y$ with this property that $xy = yx$. The aim of this paper is to obtain the structure of the commuting conjugacy class graph of finite CA-groups. It is proved that this graph is a union of some complete graphs. The commuting conjugacy class graph of certain groups are also computed.
UR - http://www.kjm-math.org/article_97177.html
L1 - http://www.kjm-math.org/article_97177_3bc76fe226764a53f2b1071b15cca234.pdf
ER -