June 3, 2024Open Access

Forbidden subgraphs of conjugacy class graphs of groups

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Abstract

Let G be a finite group. The nilpotent/commuting/solvable conjugacy class graph is a simple graph with non-central conjugacy classes of G as its vertex set and two vertices are adjacent if and only if a member of one conjugacy class with a member of another conjugacy class generates a nilpotent/abelian/solvable (sub)group. In this paper have discussed about the forbidden subgraphs of nilpotent, commuting and solvable conjugacy class graphs of groups.

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Ray et al. (Mon,) studied this question.

synapsesocial.com/papers/68e66845b6db6435875f45cf https://doi.org/https://doi.org/10.48550/arxiv.2406.01305

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1A survey on conjugacy class graphs of groups2024 · 1 citations
2A survey on conjugacy class graphs of groups2024
3On groups whose conjugacy class sizes are not divisible by each other2024
4Graphs associated to conjugacy classes of normal subgroups in finite groups2024
5Triangles in the graph of conjugacy classes of normal subgroups2024

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