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Triangles in the graph of conjugacy classes of normal subgroups |
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| Authors: | |
| Institution: | 1.Departamento de Matemáticas,Universidad Jaume I,Castellón,Spain;2.Instituto Universitario de Matemática Pura y Aplicada,Universidad Politécnica de Valencia,Valencia,Spain;3.Departamento de Educación,Universidad Jaume I,Castellón,Spain |
| 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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