Triangles in the graph of conjugacy classes of normal subgroups

2024/02/09 by Antonio Beltrán, Beltrán, Antonio, María José Felipe +3
Engineering · Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2402.06240

openalex publication_date 2024/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph Γ_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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