TY - JOUR
ID - 111344
TI - Commuting Conjugacy Class Graph of G when G / Z(G)~=D2n
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Salahshour, Mohammad Ali
AD - Department of Mathematics, Savadkooh Branch, Islamic Azad University, Savadkooh, Iran.
Y1 - 2020
PY - 2020
VL - 5
IS - 4
SP - 379
EP - 385
KW - Commuting conjugacy class graph
KW - Conjugacy classes
KW - Center
KW - Centralizer
KW - Normalizer
KW - CA-Group
DO - 10.22052/mir.2021.240226.1232
N2 - Suppose G is a finite non-abelian group and Γ(G) is a simple graph with the non-central conjugacy classes of G as its vertex set. Two different noncentral conjugacy classes C and B are assumed to be adjacent in Γ(G) if and only if there are elements a ∈ A and b ∈ B such that ab = ba. This graph is called the commuting conjugacy class graph of G. In this paper, the structure of the commuting conjugacy class graph of a group G with this property that Z(G)/G≅D_{2n} will be determined.
UR - https://mir.kashanu.ac.ir/article_111344.html
L1 - https://mir.kashanu.ac.ir/article_111344_82ed25c1a987eaa08d9cb5c17b0c11b2.pdf
ER -