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arXiv · 2402.06240

Triangles in the graph of conjugacy classes of normal subgroups

Antonio Beltrán·María José Felipe·Carmen Melchor
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Abstract

Let $G$ be a finite group and $N$ a normal subgroup of $G$. We determine the structure of $N$ when the graph $\Gamma_G(N)$, which is the graph associated to the conjugacy classes of $G$ contained in $N$, has no triangles and when the graph consists in exactly one triangle.

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Antonio Beltrán, María José Felipe, Carmen Melchor. 2024-02-09. Triangles in the graph of conjugacy classes of normal subgroups. https://arxiv.org/abs/2402.06240

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