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Title
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The commuting conjugacy class graphs of finite groups with a given property
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Type
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JournalPaper
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Keywords
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Commuting conjugacy class graph, Frobenius group, Centralizer, Normalizer, CA-Group
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Abstract
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Let 𝐺 be a finite non-abelian group. The commuting conjugacy class graph Γ(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) are connected by an edge if there exist elements 𝑥 ∈ 𝑋 and 𝑦 ∈ 𝑌 such that 𝑥𝑦 = 𝑦𝑥. In this paper, the structure of the commuting conjugacy class graph of group 𝐺 with the property that G/Z(G) is isomorphic to a Frobenius group of order 𝑝𝑞 or 𝑝2𝑞, will be determined
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Researchers
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Zeinab Foruzanfar (Second Researcher), Mehdi Rezaei (First Researcher)
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