Authors | M. A. Salahshour and A. R. Ashrafi |
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Journal | Khayyam Journal of Mathematics |
Page number | 108-118 |
Serial number | 1 |
Volume number | 6 |
Paper Type | Full Paper |
Published At | 2020 |
Journal Grade | ISI |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
Abstract
Let G be a finite nonabelian group. The commuting conjugacy class graph Γ(G) is a simple graph with the noncentral conjugacy classes of G as its vertex set and two distinct vertices X and Y in Γ(G) are adjacent if and only if there are x∈X and y∈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.